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1 = Reports in Mathematics, University of Helsinki =
2
3 === Editors ===
4
5 [[Ilkka Holopainen>>doc:mathstatHenkilokunta.Holopainen, Ilkka]] and [[Kerkko Luosto>>doc:mathstatHenkilokunta.Luosto, Kerkko]]
6
7 ----
8
9 The gray text indicates that the report is not (yet) available in electronic form.
10
11 **Preprint 520.**
12 T. Hyttinen
13 //Counting Measure and Forking in Finite Models//
14 2011, 14 pp.
15 AMS Classification: 03C45, 03C13
16 [[attach:Preprint520.pdf]]
17
18 **Preprint 519.**
19 P. Harjulehto, R. Hurri-Syrjänen and A. V. Vähäkangas
20 //On the (1,p)-Poincaré Inequality//
21 2011, 24 pp.
22 AMS Classification: 26D15, 46E35
23 [[attach:Preprint519.pdf]]
24
25 **Preprint 518.**
26 I. Holopainen
27 //Nonsolvability of the asymptotic Dirichlet problem for the p-Laplacian on Cartan-Hadamard manifolds//
28 2011, 28 pp.
29 AMS Classification: 58J32, 53C21, 31C45
30 [[attach:Preprint518.pdf]]
31
32 **Preprint 517.**
33 Å. Hirvonen and T. Hyttinen
34 //Metric abstract elementary classes with perturbations//
35 2011, 50 pp.
36 AMS Classification: Primary 03C52, Secondary 03C45
37 [[attach:Preprint517.pdf]]
38
39 **Preprint 516.**
40 O. Dovgoshey, O. Martio and M. Vuorinen
41 //Metrization of weighted graphs//
42 2011, 12 pp.
43 AMS Classification: 05C10, 05C12, 54E35
44 [[attach:Preprint516.pdf]]
45
46 **Preprint 515.**
47 K. Böss and H. Nyrhinen
48 //Large deviations of random walks under distribution whose tail is bounded by power functions//
49 2011, 12 pp.
50 AMS Classification: Primary 60F10
51 [[attach:Preprint515.pdf]]
52
53 **Preprint 514.**
54 Y. Hou
55 //Some inference results on random pure exchange economies//
56 2011, 19 pp.
57 AMS Classification: Primary 90A14, Secondary 60F15
58 [[attach:Preprint514.pdf]]
59
60 **Preprint 513.**
61 A. Perälä
62 //Toeplitz operators on Bloch-type spaces and classes of weighted Sobolev distributions//
63 2011, 14 pp.
64 AMS Classification: Primary 47B35, Secondary 30H30, 46F05
65 [[attach:Preprint513.pdf]]
66
67 **Preprint 512.**
68 V. Chousionis and P. Mattila
69 //Singular integrals on self-similar sets and removability for Lipschitz harmonic functions in Heisenberg groups,//
70 2011, 30 pp.
71 AMS Classification: Primary 42B20, Secondary 28A75
72 [[attach:Preprint512.pdf]]
73
74 **Preprint 511.**
75 O. Martio
76 //Quasiminimizing properties of solutions to Riccati type equations,//
77 2011, 10 pp.
78 AMS Classification: Primary 35J60, Secondary 35J25
79 [[attach:Preprint511.pdf]]
80
81 **Preprint 510.**
82 H. Nyrhinen
83 //On stochastic difference equations in insurance ruin theory,//
84 2010, 8 pp.
85 AMS Classification: Primary 60G40, Secondary 39A50
86 [[attach:Preprint510.pdf]]
87
88 **Preprint 509.**
89 O. Martio
90 //Quasilinear Riccati type equations and quasiminimizers,//
91 2010, 11 pp.
92 AMS Classification: Primary 35J60, Secondary 35B50
93 [[attach:Preprint509.pdf]]
94
95 **Preprint 508.**
96 A. Perälä and J. A. Virtanen
97 //A note on the Fredholm properties of Toeplitz operators on weighted Bergman spaces with matrix-valued symbols,//
98 2010, 10 pp.
99 AMS Classification: Primary 47B35, Secondary 47A53, 30H20
100 [[attach:Preprint508.pdf]]
101
102 **Preprint 507.**
103 P. Tukia
104 //Limits of Teichmüller maps,//
105 2010, 36 pp.
106 AMS Classification: Primary 30F60, Secondary 30C62
107 [[attach:Preprint507.pdf]]
108
109 **Preprint 506.**
110 R. Korte, N. Marola and N. Shanmugalingam
111 //Quasiconformality, homeomorphisms between metric measure spaces preserving quasiminimizers, and uniform density property,//
112 2010, 21 pp.
113 AMS Classification: Primary 30C56, Secondary 31C45, 49J27,35J20
114 [[attach:Preprint506.pdf]]
115
116 **Preprint 505.**
117 O. Dovgoshey and O. Martio
118 //Functions transferring metrics to metrics,//
119 2009, 28 pp.
120 AMS Classification: Primary 54E35, Secondary 20M18
121 [[attach:Preprint505.pdf]]
122
123 **Preprint 504.**
124 I. Holopainen, S. Pigola and G. Veronelli
125 //Global comparison principles for the// p-//Laplace operator on Riemannian manifolds,//
126 2009, 12 pp.
127 AMS Classification: 35B05, 31C45
128 [[attach:Preprint504.pdf]]
129
130 **Preprint 503.**
131 A. Perälä, J. Taskinen and J. Virtanen
132 //Toeplitz operators with distributional symbols on Bergman spaces,//
133 2009, 9 pp.
134 AMS Classification: 47B35
135 [[attach:Preprint503.pdf]]
136
137 **Preprint 502.**
138 M. Llorente and P. Mattila
139 //Lipschitz equivalence of subsets of self-conformal sets,//
140 2009, 8 pp.
141 AMS Classification: Primary 28A75, 28A80
142 [[attach:Preprint502.pdf]]
143
144 **Preprint 501.**
145 J. Heinonen and S. Keith
146 //Flat forms, bi-Lipschitz parametrizations, and smoothability of manifolds,//
147 2009, 31 pp.
148 AMS Classification: Primary 30C65, Secondary 58A99
149 [[attach:Preprint501.pdf]]
150
151 **Preprint 500.**
152 V. Chousionis and P. Mattila
153 //Singular integrals on Ahlfors-David regular subsets on the Heisenberg group,//
154 2009, 20 pp.
155 AMS Classification: Primary 42B20, 28A75
156 [[attach:Preprint500.pdf]]
157
158 **Preprint 499.**
159 A. Vähäkangas
160 //Dirichlet problem on unbounded domains and at infinity,//
161 2009, 26 pp.
162 AMS Classification: Primary 58J32, Secondary 31C45
163 [[attach:Preprint499.pdf]]
164
165 **Preprint 498.**
166 P. Mattila, R. Serapioni and F. Serra Cassano
167 //Characterizations of intrinsic rectifiability in Heisenberg groups,//
168 2009, 37 pp.
169 AMS Classification: Primary 28A75, Secondary 28C10
170 [[attach:Preprint498.pdf]]
171
172 **Preprint 497.**
173 H. Nyrhinen
174 //Economic factors and solvency,//
175 2009, 19 pp.
176 AMS Classification: Primary 91B30, Secondary 60F10
177 [[attach:Preprint497.pdf]]
178
179 **Preprint 496.**
180 K. Luosto
181 //Classifying unary quantifiers,//
182 2009, 31 pp.
183 AMS Classification: 03C80
184 [[attach:Preprint496.pdf]]
185
186 **Preprint 495.**
187 R. Service
188 //A Ramsey theorem with an application to sequences in Banach spaces,//
189 2009, 7 pp.
190 AMS Classification: Primary 46B15, Secondary 05D10
191 [[attach:Preprint495.pdf]]
192
193 **Preprint 494.**
194 O. Martio
195 //Capacity estimates for quasiminimizers,//
196 2009, 13 pp.
197 AMS Classification: 30B15, 30C15
198 [[attach:Preprint494.pdf]]
199
200 **Preprint 493.**
201 P. Pankka
202 //Mappings of bounded mean distortion and cohomology,//
203 2009, 13 pp.,
204 AMS Classification: 30C64 (53C21 58A12)
205 [[attach:Preprint493.pdf]]
206
207 **Preprint 492.**
208 E. Nummelin
209 //Thermodynamic formalism of stochastic equilibrium economics,//
210 2009, 44 pp.,
211 AMS Classification: Primary 90A14, 60F15
212 [[attach:Preprint492.pdf]]
213
214 **Preprint 491.**
215 T. Hosokawa, P. J. Nieminen and S. Ohno
216 //Linear combinations of composition operators on the Bloch spaces,//
217 2009, 16 pp.,
218 AMS Classification: Primary 47B33, Secondary 30D45, 47B07
219 [[attach:Preprint491.pdf]]
220
221 **Preprint 490.**
222 H. Bonsdorff
223 //On optimal monotone Bonus-Malus systems where the premiums depend both on the number and on the severity of the claims,//
224 2008, 27 pp.,
225 AMS Classification: 46N10, 49M25, 60J20
226 [[attach:Preprint490.pdf]]
227
228 **Preprint 489.**
229 J. Onninen and P. Pankka
230 //Slow mappings of finite distortion,//
231 2008, 22 pp.,
232 AMS Classification: 30C65 (53C21, 58A12)
233 [[attach:Preprint489.pdf]]
234
235 **Preprint 488.**
236 J. Laitila and H.-O. Tylli
237 //Operator-weighted composition operators on vector-valued analytic function spaces,//
238 2008, 13 pp.,
239 AMS Classification: Primary 47B33, Secondary 46E40
240 [[attach:Preprint488.pdf]]
241
242 **Preprint 487.**
243 D. Gasbarra, T. Sottinen and H. van Zanten:
244 //Conditional full support of Gaussian processes with stationary increments,//
245 2008, 9 pp.,
246 AMS Classification: 60G15, 60G10
247 [[attach:Preprint487.pdf]]
248
249 **Preprint 486.**
250 R. Siders:
251 //Dynamic Ehrenfeucht-Fraïssé Games for strong logics over linear orders and other practical results,//
252 2008, 40 pp.,
253 AMS Classification: 03C64, 03C07, 03C75
254 [[attach:Preprint486.pdf]]
255
256 **Preprint 485.**
257 J. Taskinen and J. Virtanen:
258 //Toeplitz operators on Bergman spaces with locally integrable symbols,//
259 2008, 13 pp.,
260 AMS Classification: 47B35
261 [[attach:Preprint485.pdf]]
262
263 **Preprint 484.**
264 P. Mattila and P. Saaranen:
265 //Ahlfors-David regular sets and bilipschitz maps,//
266 2008, 20 pp.,
267 AMS Classification: 28A75
268 [[attach:Preprint484.pdf]]
269
270 **Preprint 483.**
271 Yu. Kozachenko, T. Sottinen and O. Vasylyk:
272 //Lipschitz conditions for ${\rm Sup}{\varphi}(\Omega)$ - processes with - application to weakly self-similar stationary increment processes,//
273 2008, 19 pp.,
274 AMS Classifiction: 60G17, 60G18
275 [[attach:Preprint483.pdf]]
276
277 (% style="color: rgb(85,85,85);" %)**Preprint 482.**(%%)
278 (% style="color: rgb(85,85,85);" %)O. Dovgoshey, F. Abdullayev and M. K\" u\c c\"ukaslan:(%%)
279 (% style="color: rgb(85,85,85);" %)//Compact tangent metric spaces,//(%%)
280 (% style="color: rgb(85,85,85);" %)2008, 33 pp.,(%%)
281 (% style="color: rgb(85,85,85);" %)AMS Classification: 54E35
282
283 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
284 \\(% style="color: rgb(85,85,85);" %)**Preprint 481.**(%%)
285 (% style="color: rgb(85,85,85);" %)O. Dovgoshey, F. Abdullayev and M. K\" u\c c\"ukaslan:(%%)
286 (% style="color: rgb(85,85,85);" %)//Tangent metric spaces to convex sets on the plane,//(%%)
287 (% style="color: rgb(85,85,85);" %)2008, 31 pp.,(%%)
288 (% style="color: rgb(85,85,85);" %)AMS Classification: 54E35
289
290 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
291 \\**Preprint 480.**
292 O. Dovgoshey and O. Martio:
293 //Tangent spaces to metric spaces,//
294 2008, 20 pp.,
295 AMS Classification: 54E35
296 [[attach:Preprint480.pdf]]
297
298 **Preprint 479.**
299 V. Chousionis and P. Mattila:
300 //Boundedness and convergence for singular integrals of measures separated by Lipschitz graphs,//
301 2008, 12 pp.,
302 AMS Classification: 42B20
303 [[attach:Preprint479.pdf]]
304
305 **Preprint 478.**
306 B. Bojarski, V. Gutlyanski\u \i\ and V. Ryazanov:
307 //On general degenerate Beltrami equation,//
308 2008, 22 pp.,
309 AMS Classification: Primary 30C65; Secondary 30C75
310
311
312 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}[[attach:Preprint478.pdf]]
313 \\**Preprint 477.**
314 V. Chousionis:
315 //Weak convergence of singular integrals,//
316 2008, 15 pp.,
317 AMS Classification: Primary 42B20
318 [[attach:Preprint477.pdf]]
319
320 **Preprint 476.**
321 P.V. Paramonov:
322 //On $C^1$-extension and $C^1$-reflection of subharmonic functions from Lyapunov-Dini domains to ${\Bbb R}^N$,//
323 2008, 33 pp.,
324 AMS Classification: Primary 31B05; Secondary 34B27, 30E10
325 [[attach:Preprint476.ps]][[attach:Preprint476.pdf]]
326
327 (% style="color: rgb(85,85,85);" %)**Preprint 475.**(%%)
328 (% style="color: rgb(85,85,85);" %)J. Taskinen and J. A. Virtanen:(%%)
329 (% style="color: rgb(85,85,85);" %)//Spectral theory of Toepliz and Hankel operators on the Bergman space $A^1$,//(%%)
330 (% style="color: rgb(85,85,85);" %)2008, 16 pp., AMS Classification: 47B35, 47A53, 32A36, 32A37
331
332 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[][[attach:Preprint475.pdf]]{{/excerpt}}
333 \\(% style="color: rgb(85,85,85);" %)**Preprint 474.**(%%)
334 (% style="color: rgb(85,85,85);" %)A. Björn and O. Martio:(%%)
335 (% style="color: rgb(85,85,85);" %)//Pasting lemmas and characterizations of boundary regularity for quasiminimizers,//(%%)
336 (% style="color: rgb(85,85,85);" %)2008, 13 pp.,(%%)
337 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 31C45, Secondary 31B25, 35J60, 35J65
338
339 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
340 \\**Preprint 473.**
341 J. Talponen:
342 //Convex-transitivity and function spaces,//
343 2007, 15 pp.,
344 AMS Classification: Primary 46B04; Secondary 46E40
345 [[attach:Preprint473.ps]][[attach:Preprint473.pdf]]
346
347 (% style="color: rgb(85,85,85);" %)**Preprint 472.**(%%)
348 (% style="color: rgb(85,85,85);" %)S.A. Nazarov, J. Sokolowski and J. Taskinen:(%%)
349 (% style="color: rgb(85,85,85);" %)//Neumann Laplacian on a domain with tangential components in the boundary,//(%%)
350 (% style="color: rgb(85,85,85);" %)2007, 13 pp.,(%%)
351 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 35J25, Secondary 46E35, 35J20
352
353 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[Reports^Preprint472.ps] [Reports^Preprint472.pdf]{{/excerpt}}
354 \\**Preprint 471.**
355 V. Ryazanov, U. Srebro and E. Yakubov:
356 //Extension of Lehto's existence theorem and its consequences,//
357 2007, 28 pp.,
358 AMS Classification: Primary 30C65; Secondary 30C75
359 [[attach:Preprint471.pdf]]
360
361 **Preprint 470.**
362 M. S. Pakkanen:
363 //Diffusion limits for endogeneous asset price fluctuations in a microstructural market model,//
364 2007, 20 pp.,
365 AMS Classification: Primary 91B26; Secondary 60F17
366 [[http:~~/~~/www.helsinki.fi/~~~~mpakkane/docs/MP-Diffusion-Limits-2-10-2007.pdf>>url:http://www.helsinki.fi/~~mpakkane/docs/MP-Diffusion-Limits-2-10-2007.pdf||shape="rect"]]
367
368 **Preprint 469.**
369 S. Costea:
370 //Sobolev capacity and Hausdorff measures in metric measure spaces,//
371 2007, 15 pp.,
372 AMS Classification: Primary 31C15, 46E30
373 [[attach:Preprint469.pdf]]
374
375 **Preprint 468.**
376 A. Clop and I. Uriarte-Tuero:
377 //Sharp nonremovability examples for Hölder continuous quasiregular mappings in the plane,//
378 2007, 19 pp.,
379 AMS Classification: Primary 30C62, 35J15
380 [[attach:Preprint468.pdf]]
381
382 **Preprint 467.**
383 Serban Costea:
384 //Besov capacity and Hausdorff measures in metric measure spaces,//
385 2007, 25 pp.,
386 AMS Classification: Primary 31C99, 46E35
387 [[attach:Preprint467.pdf]]
388
389 **Preprint 466.**
390 V. Ryazanov and R. Salimov:
391 //On the mapping theory in metric spaces,//
392 2007, 34 pp.,
393 AMS Classification: 30C65; 30C75
394 [[attach:Preprint466.pdf]]
395
396 (% style="color: rgb(85,85,85);" %)**Preprint 465.**(%%)
397 (% style="color: rgb(85,85,85);" %)L. Diening, P. Harjulehto, P. Hästö, Y. Mizuta and T. Shimomura:(%%)
398 (% style="color: rgb(85,85,85);" %)//Maximal functions in variable exponent spaces: Limiting cases of the exponent,//(%%)
399 (% style="color: rgb(85,85,85);" %)2007, 19 pp,(%%)
400 (% style="color: rgb(85,85,85);" %)AMS Classification: 42B25, 46E30
401
402 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
403 \\(% style="color: rgb(85,85,85);" %)**Preprint 464.**(%%)
404 (% style="color: rgb(85,85,85);" %)E.A. Gallardo-Gutiérres, M.J. Gonzáles, P.J. Nieminen and E. Saksman:(%%)
405 (% style="color: rgb(85,85,85);" %)//On the connected component of compact composition operators on the Hardy space,//(%%)
406 (% style="color: rgb(85,85,85);" %)2007, 15 pp.,(%%)
407 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 47B33, Secondary 30D55, 47B38
408
409 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
410 \\**Preprint 463.**
411 R. Salimov:
412 //Absolute continuity and differentiability of Q-homeomorphisms,//
413 2007, 7 pp.,
414 AMS Classification: 30C65; 30C75
415 [[attach:Preprint463.pdf]]
416
417 **Preprint 462.**
418 I. Prause:
419 //Distortion of dimension under quasiconformal mappings,//
420 2007, 15 pp.,
421 AMS Classification: 30C62, 30C65
422 [[attach:Preprint462.pdf]]
423
424 (% style="color: rgb(85,85,85);" %)**Preprint 461.**(%%)
425 (% style="color: rgb(85,85,85);" %)J. Laitila:(%%)
426 (% style="color: rgb(85,85,85);" %)//Isometric composition operators on BMOA,//(%%)
427 (% style="color: rgb(85,85,85);" %)2007, 9 pp.,(%%)
428 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 47B33, Secondary 30D50, 30C80
429
430 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
431 \\(% style="color: rgb(85,85,85);" %)**Preprint 460.**(%%)
432 (% style="color: rgb(85,85,85);" %)J. Talponen:(%%)
433 (% style="color: rgb(85,85,85);" %)//Convex-transitive characterizations of Hilbert spaces,//(%%)
434 (% style="color: rgb(85,85,85);" %)2007, 23 pp.,(%%)
435 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 46B05, Secondary 46C15
436
437 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
438 \\(% style="color: rgb(85,85,85);" %)**Preprint 459.**(%%)
439 (% style="color: rgb(85,85,85);" %)O. Martio:(%%)
440 (% style="color: rgb(85,85,85);" %)//Reflection principle for quasiminimizers,//(%%)
441 (% style="color: rgb(85,85,85);" %)2007, 10 pp.,(%%)
442 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 31B25, Secondary 35J65
443
444 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
445 \\(% style="color: rgb(85,85,85);" %)**Preprint 458.**(%%) (% style="color: rgb(85,85,85);" %)I. Prause:(%%)
446 (% style="color: rgb(85,85,85);" %)//Flatness properties of quasispheres,//(%%)
447 (% style="color: rgb(85,85,85);" %)2007, 15 pp.,(%%)
448 (% style="color: rgb(85,85,85);" %)AMS Classification: 30C65
449
450 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
451 \\(% style="color: rgb(85,85,85);" %)**Preprint 457.**(%%)
452 (% style="color: rgb(85,85,85);" %)I. Prause:(%%)
453 (% style="color: rgb(85,85,85);" %)//A note on distortion of Hausdorff measures under quasiconformal mappings,//(%%)
454 (% style="color: rgb(85,85,85);" %)2007, 5 pp.,(%%)
455 (% style="color: rgb(85,85,85);" %)AMS Classification: 30C62
456
457 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
458 \\(% style="color: rgb(85,85,85);" %)**Preprint 456.**(%%) (% style="color: rgb(85,85,85);" %)O. Dovgoshey and O. Martio:(%%)
459 (% style="color: rgb(85,85,85);" %)//On the distortion coefficient in the Basic Covering Theorem,//(%%)
460 (% style="color: rgb(85,85,85);" %)2007, 24 pp.,(%%)
461 (% style="color: rgb(85,85,85);" %)AMS Classification: 54E35
462
463 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
464 \\(% style="color: rgb(85,85,85);" %)**Preprint 455.**(%%)
465 (% style="color: rgb(85,85,85);" %)O. Martio, V.M. Miklyukov and M. Vuorinen:(%%)
466 (% style="color: rgb(85,85,85);" %)//Ahlfors theorems for differential forms,//(%%)
467 (% style="color: rgb(85,85,85);" %)2007, 34 pp.,(%%)
468 (% style="color: rgb(85,85,85);" %)AMS Classification: 58A10
469
470 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
471 \\(% style="color: rgb(85,85,85);" %)**Preprint 454.**(%%)
472 (% style="color: rgb(85,85,85);" %)V.N. Dubinin and M. Vuorinen:(%%)
473 (% style="color: rgb(85,85,85);" %)//Robin functions and distortion theorems for regular mappings,//(%%)
474 (% style="color: rgb(85,85,85);" %)2007, 21 pp.,(%%)
475 (% style="color: rgb(85,85,85);" %)AMS Classification: 30C55
476
477 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
478 \\**Preprint 453.**
479 A. Rasila and T. Sottinen:
480 //Arbitrage by changing the stock exchange,//
481 2007, 5 pp.,
482 AMS Classification: 91B28; 60H30
483 [[attach:Preprint453.pdf]]
484
485 (% style="color: rgb(85,85,85);" %)**Preprint 452.**(%%)
486 (% style="color: rgb(85,85,85);" %)C. Jost:(%%)
487 (% style="color: rgb(85,85,85);" %)//A note on ergodic transformations of self-similar Volterra Gaussian processes,//(%%)
488 (% style="color: rgb(85,85,85);" %)2007, 8 pp.,(%%)
489 (% style="color: rgb(85,85,85);" %)AMS Classification: 60G15; 60G18; 37A25
490
491 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
492 \\(% style="color: rgb(85,85,85);" %)**Preprint 451.**(%%)
493 (% style="color: rgb(85,85,85);" %)O. Dovgoshey and O. Martio:(%%)
494 (% style="color: rgb(85,85,85);" %)//Some questions and remarks on the basic covering theorem,//(%%)
495 (% style="color: rgb(85,85,85);" %)2007, 11 pp.,(%%)
496 (% style="color: rgb(85,85,85);" %)AMS Classification: 54E35
497
498 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
499 \\(% style="color: rgb(85,85,85);" %)**Preprint 450.**(%%)
500 (% style="color: rgb(85,85,85);" %)J. Laitila, H.-O. Tylli and M. Wang:(%%)
501 (% style="color: rgb(85,85,85);" %)//Composition operators from weak to strong spaces of vector-valued analytic functions,//(%%)
502 (% style="color: rgb(85,85,85);" %)2007, 13 pp.,(%%)
503 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 47B33, Secondary 46E40
504
505 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[][[attach:Preprint450.pdf]]{{/excerpt}}
506 \\**Preprint 449.**
507 V. Heikkala, H. Lindén, M.K. Vamanamurthy and M. Vuorinen:
508 //Generalized elliptic integrals II,//
509 2006, 28 pp.,
510 AMS Classification: Primary 33B15, 33C05, Secondary 30C62
511 [[attach:Preprint449.pdf]]
512
513 **Preprint 448.**
514 C. Jost:
515 //Measure-preserving transformations of Volterra Gaussian processes and related bridges,//
516 2006, 23 pp.,
517 AMS Classification: 60G15; 37A05; 42C10; 60G44
518 [[attach:Preprint448.ps]]
519
520 **Preprint 447.**
521 J. Kinnunen and P. Lindqvist:
522 //Definition and properties of supersolutions to the porous medium equation,//
523 2006, 32 pp,
524 AMS Classification: 35K55
525 [[attach:Preprint447.pdf]]
526
527 **Preprint 446.**
528 J. Väisälä:
529 //Quasihyperbolic geometry of domains in Hilbert spaces,//
530 2006, 22 pp.,
531 AMS Classification: 30C65
532 [[http:~~/~~/www.helsinki.fi/~~~~jvaisala/QHilbert.pdf>>url:http://www.helsinki.fi/~~jvaisala/QHilbert.pdf||shape="rect"]]
533
534 **Preprint 445.**
535 S. Costea:
536 //Scaling invariant Sobolev-Lorentz capacity on// **//R//** //^^n^^,//
537 2006, 17 pp.,
538 AMS Classification: 31C15
539 [[attach:Preprint445.pdf]]
540
541 **Preprint 444.**
542 I. Holopainen, S. Markvorsen and V. Palmer:
543 //p-capacity and p-hyperbolicity of submanifolds,//
544 2006, 17 pp.,
545 AMS Classification: Priamry 53C40, 31C12; Secondary 53C21, 31C45, 60J65
546 [[http:~~/~~/www.helsinki.fi/~~~~iholopai/pLapMod16.ps>>url:http://www.helsinki.fi/~~iholopai/pLapMod16.ps||shape="rect"]]
547 [[http:~~/~~/www.helsinki.fi/~~~~iholopai/pLapMod16.pdf>>url:http://www.helsinki.fi/~~iholopai/pLapMod16.pdf||shape="rect"]]
548
549 **Preprint 443.**
550 P. Mattila and J. Verdera:
551 //Convergence of singular integrals with general measures,//
552 2006, 17 pp.,
553 AMS Classification: 42B20
554 [[attach:Preprint443.ps]][[attach:Preprint443.pdf]]
555
556 **Preprint 442.**
557 J. Talponen:
558 //On asymptotic transitivity in Banach spaces,//
559 2006, 16 pp.,
560 AMS Classification: Primary 46C15, 46B04; Secondary 46B03, 46B20
561 [[attach:Preprint442.ps]]
562
563 **Preprint 441.**
564 J. Kinnunen, N. Marola and O. Martio:
565 //Harnack's principle for quasiminimizers,//
566 2006, 18 pp.,
567 AMS Classification: Primary 49J52; Secondary 35J60, 49J27
568 [[attach:Preprint441.ps]][[attach:Preprint441.pdf]]
569
570 (% style="color: rgb(85,85,85);" %)**Preprint 440.**(%%)
571 (% style="color: rgb(85,85,85);" %)O. Martio:(%%)
572 (% style="color: rgb(85,85,85);" %)//Boundary behavior of quasiminimizers and Dirichlet finite PWB solutions//(%%) (% style="color: rgb(85,85,85);" %)//in the borderline case,//(%%)
573 (% style="color: rgb(85,85,85);" %)2006, 13 pp,(%%)
574 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 31B25; Secondary 35J65
575
576 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
577 \\**Preprint 439.**
578 K. Vehkalahti, S. Puntanen and L. Tarkkonen:
579 //Effects of measurement errors in predictor selection of linear regression model,//
580 2006, 19 pp.,
581 AMS Classification: 62J05, 62H25, 62H20, 91C05
582 [[attach:Preprint439.pdf]]
583
584 **Preprint 438.**
585 P. Harjulehto, P. Hästö and V. Latvala:
586 //Minimizers of the variable exponent, non-uniformly convex Dirichlet energy,//
587 2006, 24 pp.,
588 AMS Classification: Primary 35J60; Secondary 26B30, 35B40, 35J25, 46E35
589 [[http:~~/~~/www.helsinki.fi/~~~~pharjule/varsob/pdf/ptoonesubm.pdf>>url:http://www.helsinki.fi/~~pharjule/varsob/pdf/ptoonesubm.pdf||shape="rect"]]
590
591 **Preprint 437.**
592 J. Laitila:
593 //Weighted composition operators on BMOA,//
594 2006, 22 pp.,
595 AMS Classification: Primary 47B38; Secondary 30H05, 30D50
596 [[attach:Preprint437.ps]][[attach:Preprint437.pdf]]
597
598 **Preprint 436.**
599 P. J. Nieminen:
600 //Compact differences of composition operators on Bloch and Lipschitz spaces,//
601 2006, 16 pp.,
602 AMS Classification: Primary 47B33; Secondary 30D45, 47B07
603 [[attach:Preprint436.ps]][[attach:Preprint436.pdf]]
604
605 **Preprint 435.**
606 J. Kontinen:
607 //Logical characterization of the counting hierarchy,//
608 2006, 24 pp.,
609 AMS Classification: Primary 68Q19; Secondary 03C80, 03C85
610 [[attach:Preprint435.ps]][[attach:Preprint435.pdf]]
611
612 (% style="color: rgb(85,85,85);" %)**Preprint 434.**(%%)
613 (% style="color: rgb(85,85,85);" %)H. Nyrhinen:(%%)
614 (% style="color: rgb(85,85,85);" %)//On large deviations of multivariate heavy tailed random walks,//(%%)
615 (% style="color: rgb(85,85,85);" %)2006, 14 pp.,(%%)
616 (% style="color: rgb(85,85,85);" %)AMS Classification: 60F10
617
618 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
619 \\**Preprint 433.**
620 J. Taskinen:
621 //Asymptotical behaviour of a class of semilinear diffusion equations,//
622 2006, 15 pp.,
623 AMS Classification: Primary 35B40; Secondary 35K57, 35K45
624 [[attach:Preprint433.ps]][[attach:Preprint433.pdf]]
625
626 **Preprint 432.**
627 M. Engliš and J. Taskinen:
628 //Deformation quantization and Borel's theorem in locally convex spaces,//
629 2006, 14 pp.,
630 AMS Classification: Primary 46A13; Secondary 53D55, 26B05, 47B35
631 [[attach:Preprint432.ps]][[attach:Preprint432.pdf]]
632
633 **Preprint 431.**
634 P. Pankka:
635 //Slow quasiregular mappings and universal coverings,//
636 2006, 24 pp., AMS Classification: 30C65 (53C21, 58A12)
637 [[attach:Preprint431.ps]][[attach:Preprint431.pdf]]
638
639 **Preprint 430.**
640 Kimmo Vehkalahti, Simo Puntanen and Lauri Tarkkonen:
641 //Estimation of reliability~://
642 //a better alternative for Cronbach's alpha,//
643 2006, 20 pp.,
644 AMS Classification: 62H25, 62H20, 91C05
645 [[attach:Preprint430.pdf]]
646
647 **Preprint 429.**
648 I. Prause:
649 //A remark on quasiconformal dimension distortion on the line,//
650 2005, 12 pp., AMS Classification: 30C62
651 [[attach:Preprint429.pdf]]
652
653 **Preprint 428.**
654 J. Laitila:
655 //Composition operators and vector~-~-valued BMOA,//
656 2005, 14 pp.,
657 AMS Classification: Primary 47B33; Secondary 30D50, 46E40
658 [[attach:Preprint428.ps]][[attach:Preprint428.pdf]]
659
660 **Preprint 427.**
661 T. Sottinen and C. Tudor:
662 //Parameter estimation for stochastic equations with additive fractional Brownian sheet,//
663 2005, 15 pp., AMS Classification: 60G15, G0H07, 60G35, 62M40
664 [[attach:Preprint427.ps]][[attach:Preprint427.pdf]]
665
666 (% style="color: rgb(85,85,85);" %)**Preprint 426.**(%%)
667 (% style="color: rgb(85,85,85);" %)H. Nyrhinen:(%%)
668 (% style="color: rgb(85,85,85);" %)//Convex large deviation rate functions under mixtures of linear transformations, with an application to ruin theory,//(%%)
669 (% style="color: rgb(85,85,85);" %)2005, 16 pp.,(%%)
670 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 60F10; Secondary 60G40
671
672 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
673 \\**Preprint 425.**
674 V.M. Miklyukov:
675 //On maps almost quasi-conformally close to quasi-isometries,//
676 2005, 26 pp.,
677 AMS Classification: Primary 26B35; Secondary 26B10
678 [[attach:Preprint425.ps]][[attach:Preprint425.pdf]]
679
680 **Preprint 424.**
681 C. Jost:
682 //A note on the connection between Molchan-Golosov- and Mandelbrot-Van Ness representation of fractional Brownian motion,//
683 2005, 19 pp.,
684 AMS Classification:60G15; 60G18
685 [[attach:Preprint424.ps]]
686
687 **Preprint 423.**
688 Aleksi Vähäkangas:
689 //Dirichlet problem at infinity for ${\cal A}$-harmonic functions,//
690 2005, 15 pp.,
691 AMS Classification: 58J32, 31C12, 31C45
692 [[attach:Preprint423.pdf]]
693
694 **Preprint 422.**
695 J. Väisälä:
696 //Quasihyperbolic geodesics in convex domains,//
697 2005, 12 pp.,
698 AMS Classification: 30C65
699 [[http:~~/~~/www.helsinki.fi/~~~~jvaisala/qhgeo.pdf>>url:http://www.helsinki.fi/~~jvaisala/qhgeo.pdf||shape="rect"]]
700
701 **Preprint 421.**
702 P. Harjulehto, P. Hästö and V. Latvala:
703 //Sobolev embeddings in metric measure spaces with variable dimension,//
704 2005, 20 pp.,
705 AMS Classification: Primary 46E35; Secondary 28A78, 28A80, 42B20, 46E30
706 [[attach:Preprint421.pdf]]
707
708 **Preprint 420.**
709 K. Falk and P. Tukia:
710 //A note on Patterson measures,//
711 2005, 11 pp.,
712 AMS Classification: Priamry 30F40; Secondary 37F30, 37F35
713 [[attach:Preprint420.pdf]]
714
715 **Preprint 419.**
716 D. Kovtonyuk and V. Ryazanov:
717 //Homeomorphisms with lower bounds for moduli,//
718 2005, 22 pp.,
719 AMS Classification: 30C65
720 [[attach:Preprint419.pdf]]
721
722 **Preprint 418.**
723 I. Holopainen, U. Lang and A. Vähäkangas:
724 //Dirichlet problem at infinity on Gromov hyperbolic metric measure spaces,//
725 2005, 36 pp.,
726 AMS Classification: 58J32, 53C23, 31C45
727 [[http:~~/~~/www.helsinki.fi/~~~~iholopai/HLV.ps>>url:http://www.helsinki.fi/~~iholopai/HLV.ps||shape="rect"]]
728 [[http:~~/~~/www.helsinki.fi/~~~~iholopai/HLV.pdf>>url:http://www.helsinki.fi/~~iholopai/HLV.pdf||shape="rect"]]
729
730 **Preprint 417.**
731 V.N. Dubinin and M. Vuorinen:
732 //On conformal moduli of polygonal quadrilaterals,//
733 2005, 12 pp.,
734 AMS Classification: Primary 30C85; Secondary 30C65
735 [[attach:Preprint417.pdf]]
736
737 (% style="color: rgb(85,85,85);" %)**Preprint 416.**(%%)
738 (% style="color: rgb(85,85,85);" %)V. Gutlyanski\v i and O. Martio:(%%)
739 (% style="color: rgb(85,85,85);" %)//Boundary regularity of conformal maps with quasiconformal extension,//(%%)
740 (% style="color: rgb(85,85,85);" %)2005, 20 pp.,(%%)
741 (% style="color: rgb(85,85,85);" %)AMS Classification: 30C55,60
742
743 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
744 \\(% style="color: rgb(85,85,85);" %)**Preprint 415.**(%%)
745 (% style="color: rgb(85,85,85);" %)O. Dovgoshey:(%%)
746 (% style="color: rgb(85,85,85);" %)//From the disk to the Caratheodory domains,//(%%)
747 (% style="color: rgb(85,85,85);" %)2005, 14 pp.,(%%)
748 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 30E10; Secondary 46J15, 46E25
749
750 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
751 \\(% style="color: rgb(85,85,85);" %)**Preprint 414.**(%%)
752 (% style="color: rgb(85,85,85);" %)V. Gutlyanski\v i and O. Martio:(%%)
753 (% style="color: rgb(85,85,85);" %)//On regularity of a quasiconformal mapping at a point of maximal//(%%) (% style="color: rgb(85,85,85);" %)//streching,//(%%)
754 (% style="color: rgb(85,85,85);" %)2005, 8 pp.,(%%)
755 (% style="color: rgb(85,85,85);" %)AMS Classification: 30C62
756
757 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
758 \\(% style="color: rgb(85,85,85);" %)**Preprint 413.**(%%)
759 (% style="color: rgb(85,85,85);" %)A. Rasila:(%%)
760 (% style="color: rgb(85,85,85);" %)//Multiplicity and boundary behavior of quasiregular maps,//(%%)
761 (% style="color: rgb(85,85,85);" %)2005, 10 pp.,(%%)
762 (% style="color: rgb(85,85,85);" %)AMS Classification: 30C65
763
764 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
765 \\**Preprint 412.**
766 O. Martio, V.M. Miklyukov and M. Vuorinen:
767 //Wiman and Arima theorems for quasiregular mappings,//
768 2005, 29 pp.,
769 AMS Classification: Primary 30C65, Secondary 31C12
770 [[attach:Preprint412.pdf]]
771
772 **Preprint 411.**
773 J. Laitila and H.-O. Tylli:
774 //Composition operators on vector-valued harmonic functions and Cauchy// //transforms,//
775 2005, 22 pp.,
776 AMS Classification: Promary 47B33; Secondary 46E40, 46G10
777 [[attach:Preprint411.ps]][[attach:Preprint411.pdf]]
778
779 **Preprint 410.**
780 C. Jost:
781 //A transformation formula for fractional Brownian motion,//
782 2005, 27 pp., AMS Classification: 60G15, 26A33, 60H05
783 [[attach:Preprint410.ps]]
784
785 (% style="color: rgb(85,85,85);" %)**Preprint 409.**(%%)
786 (% style="color: rgb(85,85,85);" %)H. Lindén:(%%)
787 (% style="color: rgb(85,85,85);" %)//Gromov hyperbolicity of conformal invariant metrics,//(%%)
788 (% style="color: rgb(85,85,85);" %)2005, 10 pp.,(%%)
789 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 30F45; Secondary 30C20
790
791 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
792 \\(% style="color: rgb(85,85,85);" %)**Preprint 408.**(%%)
793 (% style="color: rgb(85,85,85);" %)V. Suomala:(%%)
794 (% style="color: rgb(85,85,85);" %)//Local distribution of fractal sets and measures,//(%%)
795 (% style="color: rgb(85,85,85);" %)2005, 18 pp.,(%%)
796 (% style="color: rgb(85,85,85);" %)AMS Classification: 28A75
797
798 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
799 \\(% style="color: rgb(85,85,85);" %)**Preprint 407.**(%%)
800 (% style="color: rgb(85,85,85);" %)H. Nyrhinen:(%%)
801 (% style="color: rgb(85,85,85);" %)//Power estimates for ruin probabilities,//(%%)
802 (% style="color: rgb(85,85,85);" %)2004, 21 pp.,(%%)
803 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 60G40; Secondary 60F10
804
805 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
806 \\(% style="color: rgb(85,85,85);" %)**Preprint 406.**(%%)
807 (% style="color: rgb(85,85,85);" %)E. Nummelin:(%%)
808 (% style="color: rgb(85,85,85);" %)//A Perron-Frobenius theorem for cone-preserving linear operators in//(%%) (% style="color: rgb(85,85,85);" %)//a vector space I: General results,//(%%)
809 (% style="color: rgb(85,85,85);" %)2004, 16 pp.,(%%)
810 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 47B65; Secondary 47A67, 47A75
811
812 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
813 \\(% style="color: rgb(85,85,85);" %)**Preprint 405.**(%%)
814 (% style="color: rgb(85,85,85);" %)J. Bonet, M. Engliš and J. Taskinen:(%%)
815 (% style="color: rgb(85,85,85);" %)//Weighted $L^{\infty}$-estimates for Bergman projections,//(%%)
816 (% style="color: rgb(85,85,85);" %)2004, 23 pp.,(%%)
817 (% style="color: rgb(85,85,85);" %)AMS Classification: 47B38, 46A13
818
819 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
820 \\**Preprint 404.**
821 V. Heikkala, M.K. Vamanamurthy and M. Vuorinen:
822 //Generalized ellipic integrals,//
823 2004, 30 pp.,
824 AMS Classification: Primary 33B15, 33C05; Secondary 30C62
825 [[attach:Preprint404.ps]][[attach:Preprint404.pdf]]
826
827 **Preprint 403.**
828 D. Kovtonyuk and V. Ryazanov:
829 //To the theory of mappings with finite area distortion,//
830 2004, 11 pp.,
831 AMS Classification 30C65
832 [[attach:Preprint403.pdf]]
833
834 **Preprint 402.**
835 V.A. Klyachin, A.V. Kochetov and V.M. Miklyukov:
836 //Some elementary inequalities in gas dynamics equation,//
837 2004, 26 pp.,
838 AMS Classification Priamry 35J60; Secondary 35Q35
839 [[attach:Preprint402.ps]][[attach:Preprint402.pdf]]
840
841 **Preprint 401.**
842 O. Martio, V. Miklyukov and M. Vuorinen:
843 //On quasiplanes in $R^n$ with codimension $> 1$,//
844 2004, 8 pp.,
845 AMS Classification: 30C62, 30C65
846 [[attach:Preprint401.ps]]
847
848 **Preprint 400.**
849 P. Mattila:
850 //Measures with unique tangent measures in metric groups,//
851 2004, 11 pp.,
852 AMS Classification: Primary 28A 75; Secondary 28C10
853 [[attach:Preprint400.ps]]
854
855 **Preprint 399.**
856 P. Pankka:
857 //Quasiregular mappings from a punctured ball into compact manifolds,//
858 2004, 25 pp.,
859 AMS Classification: Primary 30C65; Secondary 53C21, 58A12
860 [[attach:Preprint399.ps]][[attach:Preprint399.pdf]]
861
862 **Preprint 398.**
863 Yu. Kozachenko, T. Sottinen and O. Vasylyk:
864 //Simulation of weakly self-similar stationary increment// //Sub{\phi}(\Omega)-prosesses: a series expansion approach,//
865 2004, 20 pp.,
866 AMS Classification: 60G18, 60G15, 68U20, 33C10
867 [[attach:Preprint398.ps]][[attach:Preprint398.pdf]]
868
869 (% style="color: rgb(85,85,85);" %)**Preprint 397.**(%%)
870 (% style="color: rgb(85,85,85);" %)J.W. Anderson, K. Falk and P. Tukia:(%%)
871 (% style="color: rgb(85,85,85);" %)//Conformal measures associated to ends of hyperbolic $n$-manifolds,//(%%)
872 (% style="color: rgb(85,85,85);" %)2004, 22 pp.,(%%)
873 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 30F40; Secondary 37F30, 37F35
874
875 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
876 \\**Preprint 396.**
877 O. Blasco, M. Lindström and J. Taskinen:
878 //Bloch-to-$BMOA$ compositions in several complex variables,//
879 2004, 16 pp.,
880 AMS Classification: Primary 47B33, Secondary 32A02, 32A18, 32A70
881 [[attach:Preprint396.ps]]
882
883 **Preprint 395.**
884 T. Hyttinen and M. Viljanen:
885 //Independence in local abstract elementary classes, part I,//
886 2004, 46 pp.,
887 AMS Classification: Primary 03C45, Secondary 03C52
888 [[attach:Preprint395.ps]][[attach:Preprint395.pdf]]
889
890 (% style="color: rgb(85,85,85);" %)**Preprint 394.**(%%)
891 (% style="color: rgb(85,85,85);" %)O. Dovgoshey and O. Martio:(%%)
892 (% style="color: rgb(85,85,85);" %)//Singular functions and arc length,//(%%)
893 (% style="color: rgb(85,85,85);" %)2004, 15 pp.,(%%)
894 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 26A30; Swcondary 51M25, 14H50
895
896 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
897 \\**Preprint 393.**
898 T. Sottinen and C.A. Tudor:
899 //On the equivalence of multiparameter Gaussian processes,//
900 2004, 23 pp.,
901 AMS Classification: Primary 60G15, Secondary 60G30, 60H05
902 [[attach:Preprint393.ps]][[attach:Preprint393.pdf]]
903
904 **Preprint 392.**
905 J. Laitila:
906 //Weakly compact composition operators on vector-valued BMOA,//
907 2004, 14 pp.,
908 AMS Classification: 47B33, 30D50, 46E40
909 [[attach:Preprint392.ps]][[attach:Preprint392.pdf]]
910
911 (% style="color: rgb(85,85,85);" %)**Preprint 391.**(%%)
912 (% style="color: rgb(85,85,85);" %)H. Bonsdorff:(%%)
913 (% style="color: rgb(85,85,85);" %)//On asymptotic properties of Bonus~-~-Malus systems based on the number and on the size of the claims,//(%%)
914 (% style="color: rgb(85,85,85);" %)2004, 12 pp.,(%%)
915 (% style="color: rgb(85,85,85);" %)AMS Classification: 60J05, 60J20
916
917 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
918 \\**Preprint 390.**
919 J. Väisälä:
920 //Broken tubes in Hilbert spaces,//
921 2004, 10 pp., AMS Classification: 30C65
922 [[http:~~/~~/www.helsinki.fi/~~~~jvaisala/murto.pdf>>url:http://www.helsinki.fi/~~jvaisala/murto.pdf||shape="rect"]]
923
924 **Preprint 389.**
925 J. Väisälä:
926 //Hyperbolic and uniform domains in Banach spaces,//
927 2004, 45 pp.,
928 AMS Classification: 30C65, 53C23
929 [[http:~~/~~/www.helsinki.fi/~~~~jvaisala/hypuni.pdf>>url:http://www.helsinki.fi/~~jvaisala/hypuni.pdf||shape="rect"]]
930
931 (% style="color: rgb(85,85,85);" %)**Preprint 388.**(%%)
932 (% style="color: rgb(85,85,85);" %)P. Harjulehto. P. Hästö and M. Pere:(%%)
933 (% style="color: rgb(85,85,85);" %)//Variable exponent Sobolev spaces on metric measure spaces,//(%%)
934 (% style="color: rgb(85,85,85);" %)2004, 25 pp.,(%%)
935 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 46E35; Secondary 31B15
936
937 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
938 \\(% style="color: rgb(85,85,85);" %)**Preprint 387.**(%%)
939 (% style="color: rgb(85,85,85);" %)S.-L. Qiu and M. Vuorinen:(%%)
940 (% style="color: rgb(85,85,85);" %)//Some properties of the gamma and psi functions, with applications,//(%%)
941 (% style="color: rgb(85,85,85);" %)2004, 22 pp.,(%%)
942 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 33B15; Secondary 26B15, 26D15, 51M25
943
944 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
945 \\**Preprint 386.**
946 J. Kontinen:
947 //The hierarachy theorem for second order generalized quantifiers,//
948 2004, 18 pp.,
949 AMS Classification: Primary 03C80; Secondary 03C13, 03C85
950 [[attach:Preprint386.ps]]
951
952 (% style="color: rgb(85,85,85);" %)**Preprint 385.**(%%)
953 (% style="color: rgb(85,85,85);" %)J. Kinnunen and P. Lindqvist:(%%)
954 (% style="color: rgb(85,85,85);" %)//Summability of semicontinuous supersolutions to a quasilinear parabolic equations,//(%%)
955 (% style="color: rgb(85,85,85);" %)2004, 18 pp.,(%%)
956 (% style="color: rgb(85,85,85);" %)AMS Classification: 35K55
957
958 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
959 \\(% style="color: rgb(85,85,85);" %)**Preprint 384.**(%%)
960 (% style="color: rgb(85,85,85);" %)M. Malmivuori:(%%)
961 (% style="color: rgb(85,85,85);" %)//Electric and magnetic Green's functions in a smoothly layered//(%%) (% style="color: rgb(85,85,85);" %)//medium/general case,//(%%)
962 (% style="color: rgb(85,85,85);" %)2004, 50 pp.,(%%)
963 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 35Q60, 47G10, 47G30; Secondary 35S05, 35C15, 46A32
964
965 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
966 \\(% style="color: rgb(85,85,85);" %)**Preprint 383.**(%%)
967 (% style="color: rgb(85,85,85);" %)V.M. Miklyukov, S.S. Polypanov and R.A. Tarapata:(%%)
968 (% style="color: rgb(85,85,85);" %)//Stabilization theorems for solutions of gas dynamics equation,//(%%)
969 (% style="color: rgb(85,85,85);" %)2004, 22 pp.,(%%)
970 (% style="color: rgb(85,85,85);" %)AMS Classification: 35L65, 30C62, 76N15
971
972 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
973 \\**Preprint 382.**
974 O. Martio, V. Miklyukov and M. Vuorinen:
975 //Removable singularities of ${\cal WT}$~-~-differential forms and quasiregular mappings,//
976 2004, 13 pp.,
977 AMS Classification: 30C65, 58A14
978 [[attach:Preprint382.ps]]
979
980 **Preprint 381.**
981 J. Väisälä:
982 //Gromov hyperbolic spaces,//
983 2004, 38 pp.,
984 AMS Classification: 58C23
985 [[http:~~/~~/www.helsinki.fi/~~~~jvaisala/grobok.pdf>>url:http://www.helsinki.fi/~~jvaisala/grobok.pdf||shape="rect"]]
986
987 **Preprint 380.**
988 J. Kontinen:
989 //Definability of second order generalized quantifiers,//
990 2004, 21 pp.,
991 AMS Classification: Primary 03C80; Secondary 03C13, 03C85
992 [[attach:Preprint380.ps]]
993
994 (% style="color: rgb(85,85,85);" %)**Preprint 379.**(%%)
995 (% style="color: rgb(85,85,85);" %)O. Dovgoshey and O. Martio:(%%)
996 (% style="color: rgb(85,85,85);" %)//The arc length evaluations and Lebesgue decomposition,//(%%)
997 (% style="color: rgb(85,85,85);" %)2004, 11 pp.,
998
999 (% style="color: rgb(85,85,85);" %)AMS Classification: 26A30)
1000
1001 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1002 \\**Preprint 378.**
1003 P. Harjulehto, P. Hästö and O. Martio:
1004 //Fuglede's theorem in variable exponent Sobolev space,//
1005 2004, 10 pp.,
1006 AMS Classification: 46E35
1007 [[attach:Preprint378.pdf]]
1008
1009 **Preprint 377.**
1010 P.J. Nieminen and E. Saksman:
1011 //On compactness of the difference of composition operators,//
1012 2003, 18 pp.,
1013 AMS Classification: Primary 47B33, Secondar 30D55,47B07
1014 [[attach:Preprint377.ps]]
1015 [[attach:Preprint377.pdf]]
1016
1017 (% style="color: rgb(85,85,85);" %)**Preprint 376.**(%%)
1018 (% style="color: rgb(85,85,85);" %)H. Nyrhinen:(%%)
1019 (% style="color: rgb(85,85,85);" %)//Hitting probabilities for heavy tailed random walks,//(%%)
1020 (% style="color: rgb(85,85,85);" %)2003, 21 pp.,(%%)
1021 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 60G40, Secondary 60F10
1022
1023 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1024 \\**Preprint 375.**
1025 J. Kinnunen and P. Lindqvist:
1026 //Pointwise behaviour of semicontinuous supersolutions to a quasilinear parabolic equation,//
1027 2003, 23 pp.,
1028 AMS Classification: 35K55
1029 [[attach:Preprint375.ps]]
1030
1031 **Preprint 374.**
1032 H. Haario, M. Laine, A. Mira and E. Saksman:
1033 //DRAM: Efficient adaptive MCMC,//
1034 2003, 17 pp.,
1035 AMS Classification: 65C05, 65C40
1036 [[attach:Preprint374.pdf]]
1037
1038 (% style="color: rgb(85,85,85);" %)**Preprint 373.**(%%)
1039 (% style="color: rgb(85,85,85);" %)P. Tukia:(%%)
1040 (% style="color: rgb(85,85,85);" %)//Teichmüller sequences on trajectories invariant under a Kleinian group,//(%%)
1041 (% style="color: rgb(85,85,85);" %)2003, 43 pp.,(%%)
1042 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 30F60, Secondary 30F40, 30C62
1043
1044 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}
1045 []
1046 {{/excerpt}}
1047
1048 **Preprint 372.**
1049 S. Rickman:
1050 //Simply connected quasiregularly elliptic 4-manifolds,//
1051 2003, 13 pp.,
1052 AMS Classification: Primary 30C65; Secondary 57M12
1053 [[attach:Preprint372.ps]]
1054
1055 **Preprint 371.**
1056 P. Harjulehto, P. Hästö and M. Pere:
1057 //Variable exponent Lebesgue spaces on metric spaces: The Hardy-Littlewood maximal operator,//
1058 2003, 12 pp.,
1059 AMS Classification: 42B25, 42B33
1060 [[attach:Preprint371.pdf]]
1061
1062 **Preprint 370.**
1063 K. Astala and L. Päivärinta:
1064 //Calderon's inverse conductivity problem in the plane,//
1065 2003, 40 pp.,
1066 AMS Classification: Primary 35R30, Secondary 35J15
1067 [[attach:Preprint370.ps]]
1068 [[attach:Preprint370.pdf]]
1069
1070 **Preprint 369.**
1071 V. Ryazanov, U. Srebro and E. Yakubov:
1072 //Degenerate Beltrami equation and radial $Q$~-~-homeomorphisms,//
1073 2003, 34 pp.,
1074 AMS Classification: Primary 30C65; Secondary 30C75
1075 [[attach:Preprint369.ps]]
1076
1077 **Preprint 368.**
1078 I. Holopainen and P. Pankka:
1079 //A big Picard theorem for quasiregular mappings into manifolds with many ends,//
1080 2003, 9 pp.,
1081 AMS Classification: 30C65
1082 [[http:~~/~~/www.helsinki.fi/~~~~iholopai/bigPicard.ps>>url:http://www.helsinki.fi/~~iholopai/bigPicard.ps||shape="rect"]]
1083 [[http:~~/~~/www.helsinki.fi/~~~~iholopai/bigPicard.pdf>>url:http://www.helsinki.fi/~~iholopai/bigPicard.pdf||shape="rect"]]
1084
1085 **Preprint 367.**
1086 V. Ryazanov and E. Sevost'yanov:
1087 //To the theory of normal families of space mappings,//
1088 2003, 13 pp.,
1089 AMS Classification: Primary 30C65; Secondary 30C75
1090 [[attach:Preprint367.ps]]
1091
1092 **Preprint 366.**
1093 O. Dovgoshey, O. Martio, V. Ryazanov and M. Vuorinen:
1094 //On linear distortion of Hausdorff dimension,//
1095 2003, 18 pp.,
1096 AMS Classification: 28A78
1097 [[attach:Preprint366.ps]]
1098
1099 **Preprint 365.**
1100 P. Hästö and H. Lindén:
1101 //Isometries of the half-apollonian metric,//
1102 2003, 10 pp.,
1103 AMS Classification: 53 M 15, 30F46
1104 [[attach:Preprint365.ps]]
1105
1106 **Preprint 364.**
1107 P. Harjulehto and P. Hästö:
1108 //Lebesgue points in variable exponent spaces,//
1109 2003, 9 pp.,
1110 AMS Classifiction: 46E35
1111 [[attach:Preprint364.pdf]]
1112
1113 **Preprint 363.**
1114 T. Blomster:
1115 //Stochastic equilibrium in financial markets,//
1116 2003, 8 pp.,
1117 AMS Classification: 81B70
1118 [[attach:Preprint363.ps]]
1119 [[attach:Preprint363.pdf]]
1120
1121 **Preprint 362.**
1122 P. Alestalo, D.A. Trotsenko and J. Väisälä:
1123 //Linear bilipschitz extension property,//
1124 2003, 15 pp.,
1125 AMS Classification: 30C65, 46B20
1126 [[attach:Preprint362.ps]]
1127
1128 **Preprint 361.**
1129
1130 M. Kuusela:
1131 //On large deviations of fixed points,//
1132 2003, 13 pp.,
1133 AMS Classification: 60F10, 91B52
1134 [[attach:Preprint361.ps]]
1135
1136 **Preprint 360.**
1137 M. Lassas, L. Päivärinta and E. Saksman:
1138 //Inverse Schrödinger scattering problem for random potentials in plane,//
1139 2003, 63 pp.,
1140 AMS Classification: 35R30, 35P25, 82D30, 60J25
1141 [[attach:Preprint360.ps]]
1142 [[attach:Preprint360.pdf]]
1143
1144 (% style="color: rgb(85,85,85);" %)**Preprint 359.**(%%)
1145 (% style="color: rgb(85,85,85);" %)A.A. Gushchin and E. Valkeila:(%%)
1146 (% style="color: rgb(85,85,85);" %)//Approximations and limit theorems for likelihood ratio processes in the binary case,//(%%)
1147 (% style="color: rgb(85,85,85);" %)2003, 47 pp.,(%%)
1148 (% style="color: rgb(85,85,85);" %)AMS Classification: 60F05, 60F17, 60G30, 60G44, 62E20
1149
1150 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1151 \\(% style="color: rgb(85,85,85);" %)**Preprint 358.**(%%)
1152 (% style="color: rgb(85,85,85);" %)G. Li and J. Yang:(%%)
1153 (% style="color: rgb(85,85,85);" %)//Asymptotically linear elliptic systems,//(%%)
1154 (% style="color: rgb(85,85,85);" %)2003, 26 pp.,(%%)
1155 (% style="color: rgb(85,85,85);" %)AMS Classification: 35J60; 35J20
1156
1157 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1158 \\(% style="color: rgb(85,85,85);" %)**Preprint 357.**(%%)
1159 (% style="color: rgb(85,85,85);" %)Y. Hu and H. Nyrhinen:(%%)
1160 (% style="color: rgb(85,85,85);" %)//Large deviations viewpoints for heavy tailed random walks,//(%%)
1161 (% style="color: rgb(85,85,85);" %)2003, 13 pp.,(%%)
1162 (% style="color: rgb(85,85,85);" %)AMS Classification: 60F10
1163
1164 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1165 \\**Preprint 356.**
1166 M. Engli\v s, T. T. Hänninen and J. Taskinen:
1167 //Minimal $L^{\infty}$-type spaces on strictly pseudoconvex domains on which the Bergman projection is continuous,//
1168 2003, 17 pp.,
1169 AMS Classification: Primary 32A10; Secondary 40E10, 32T15
1170 [[attach:Preprint356.ps]]
1171
1172 **Preprint 355.**
1173 (% style="color: rgb(85,85,85);" %)O. Dovgoshey, O. Martio, V. Ryazanov and M. Vuorinen:(%%)
1174 (% style="color: rgb(85,85,85);" %)//The Cantor set and representations of numbers,//(%%)
1175 (% style="color: rgb(85,85,85);" %)2003, 17 pp.,(%%)
1176 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 11A67
1177
1178 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1179 \\**Preprint 354.**
1180 P. Harjulehto and P. Hästö:
1181 //A capacity approach to the Poincaré inequality and Sobolev imbeddings in variable exponent Sobolev spaces,//
1182 2003, 13 pp.,
1183 AMS Classification: 46E35
1184 [[attach:Preprint354.ps]]
1185
1186 **Preprint 353.**
1187 P. Harjulehto, P. Hästö, M. Koskenoja and S. Varonen:
1188 //The Dirichlet energy integral and variable exponent Sobolev spaces with zero boundary values,//
1189 2003, 15 pp.,
1190 AMS Classification: 46E35, 31C45, 35J65
1191 [[attach:Preprint353.ps]]
1192 [[attach:Preprint353.pdf]]
1193
1194 **Preprint 352.**
1195 V. Heikkala and M. Vuorinen:
1196 //Teichm\"uller's extremal ring problem,//
1197 2003, 20 pp.,
1198 AMS Classification: Primary 30C75, Secondary 31B15
1199 [[attach:Preprint352.ps]]
1200 [[attach:Preprint352.pdf]]
1201
1202 **Preprint 351.**
1203 T. Hyttinen:
1204 //Random logarithm and homogeneity,//
1205 2003, 31 pp.,
1206 AMS Classification: Primarity 03C52, Secondary 03C60, 03C68
1207 [[attach:Preprint351.ps]]
1208
1209 **Preprint 350.**
1210 A. Ignat'ev and V. Ryazanov:
1211 //On the boundary behavior of space mappings,//
1212 2003, 11 pp.,
1213 AMS Classification: Primary 30C65, Secondary 30C75
1214 [[attach:Preprint350.ps]]
1215
1216 (% style="color: rgb(85,85,85);" %)**Preprint 349.**(%%)
1217 (% style="color: rgb(85,85,85);" %)P.V. Gapeev:(%%)
1218 (% style="color: rgb(85,85,85);" %)//On arbitrage and Markovian short rates for fractional bond markets,//(%%)
1219 (% style="color: rgb(85,85,85);" %)2003, 11 pp~,~,(%%)
1220 (% style="color: rgb(85,85,85);" %)AMS Classification: 91B28, 60G15
1221
1222 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1223 \\**Preprint 348.**
1224 S. Keith and T. Laakso:
1225 //Conformal Assouad dimension and modulus,//
1226 2003, 36 pp.,
1227 AMS Classification: 30C65, 53C24
1228 [[attach:Preprint348.ps]]
1229
1230 **Preprint 347.**
1231 O. Martio and V. Miklyukov:
1232 //On existence and uniqueness of degenerate Beltrami equation,//
1233 2003, 12 pp,
1234 AMS Classification: Primary 30C62, Secondary 35J70
1235 [[attach:Preprint347.ps]]
1236
1237 **Preprint 346.**
1238 I.V. Zhuravlev, A.Yu. Igumnov and V.M. Miklyukov:
1239 //On an implicit function theorem,//
1240 2003, 9 pp.,
1241 AMS Classification: Primary 26B35, Secondary 26B10
1242 [[attach:Preprint346.ps]]
1243
1244 (% style="color: rgb(85,85,85);" %)**Preprint 345.**(%%)
1245 (% style="color: rgb(85,85,85);" %)M. Malmivuori:(%%)
1246 (% style="color: rgb(85,85,85);" %)//An inverse problem for time-harmonic electromagnetic currents in a smoothly layered medium,//(%%)
1247 (% style="color: rgb(85,85,85);" %)2003, 37 pp.,(%%)
1248 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 35Q60, 78A46, 35R30, Secondary 46A32
1249
1250 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1251 \\**Preprint 344.**
1252 J. Kinnunen and O. Martio:
1253 //Potential theory of quasiminimizers,//
1254 2003, 27 pp.,
1255 AMS Classification: 31C45, 49N60
1256 [[attach:Preprint344.ps]]
1257
1258 **Preprint 343.**
1259 M. Kuusela:
1260 //On price equilibria of random economies,//
1261 2003, 12 pp.,
1262 AMS Classification: 91B52, 60F10
1263 [[attach:Preprint343.ps]]
1264
1265 **Preprint 342.**
1266 H. Haario, E. Saksman and J. Tamminen:
1267 //Componentwise adaptation for MCMC,//
1268 2003, 20 pp.,
1269 AMS Classification: 65C05, 65C40
1270 [[attach:Preprint342.ps]]
1271
1272 **Preprint 341.**
1273 P. Hästö:
1274 //The Apollonian metric and bilipschitz mappings,//
1275 2003, 5 pp.,
1276 [[attach:Preprint341.ps]]
1277 [[attach:Preprint341.pdf]]
1278
1279 (% style="color: rgb(85,85,85);" %)**Preprint 340.**(%%)
1280 (% style="color: rgb(85,85,85);" %)H. Nyrhinen:(%%)
1281 (% style="color: rgb(85,85,85);" %)//Large deviations with applications to insurance problems,//(%%)
1282 (% style="color: rgb(85,85,85);" %)2003, 7 pp.,(%%)
1283 (% style="color: rgb(85,85,85);" %)AMS Classification: 60F10
1284
1285 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1286 \\**Preprint 339.**
1287 I. Holopainen and P. Pankka:
1288 //Mappings of finite distortion: Global homeomorphism theorem,//
1289 2002, 22 pp.,
1290 AMS Classification: 30C65
1291 [[http:~~/~~/www.helsinki.fi/~~~~iholopai/mfdght.ps>>url:http://www.helsinki.fi/~~iholopai/mfdght.ps||shape="rect"]]
1292 [[http:~~/~~/www.helsinki.fi/~~~~iholopai/mfdght.pdf>>url:http://www.helsinki.fi/~~iholopai/mfdght.pdf||shape="rect"]]
1293
1294 **Preprint 338.**
1295 P. Harjulehto, P. Hästö, M. Koskenoja and S. Varonen:
1296 //Sobolev capacity on the space $W^{1,p(\cdot)}({\Bbb R}^n)$,//
1297 2002, 12 pp.,
1298 AMS Classification: 40E35, 31B15
1299 [[attach:Preprint338.ps]]
1300 [[attach:Preprint338.pdf]]
1301
1302 (% style="color: rgb(85,85,85);" %)**Preprint 337.**(%%)
1303 (% style="color: rgb(85,85,85);" %)Y. Mishura:(%%)
1304 (% style="color: rgb(85,85,85);" %)//Fractional stochastic integration and Black-Scholes equation for fractional Brownian model with stochastic volatility,//(%%)
1305 (% style="color: rgb(85,85,85);" %)2002, 19 pp.,(%%)
1306 (% style="color: rgb(85,85,85);" %)AMS Classification: 60G15, 60H30, 91B28
1307
1308 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1309 \\(% style="color: rgb(85,85,85);" %)**Preprint 336.**(%%)
1310 (% style="color: rgb(85,85,85);" %)V. Gutlyanski\v i and O. Martio:(%%)
1311 (% style="color: rgb(85,85,85);" %)//On regularity of quasiconformal curves,//(%%)
1312 (% style="color: rgb(85,85,85);" %)2002, 20 pp.,(%%)
1313 (% style="color: rgb(85,85,85);" %)AMS Classification: 30C55,60
1314
1315 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1316 \\**Preprint 335.**
1317 T. Sottinen and E. Valkeila:
1318 //On arbitrage and replication in the fractional Black~-~-Scholes pricing model,//
1319 2002, 13 pp.,
1320 AMS Classification: 60F17, 60G15, 90A09;
1321 JEL Classification: C60, G10
1322 [[attach:Preprint335.ps]]
1323
1324 **Preprint 334.**
1325 J. Kinnunen and N. Shanmugalingam:
1326 //Polar sets on metric spaces,//
1327 2002, 25 pp.,
1328 AMS Classification: 31C45, 49N60
1329 [[attach:Preprint334.ps]]
1330
1331 **Preprint 333.**
1332 J. Kinnunen and O. Martio:
1333 //Sobolev space properties of superharmonic functions on metric spaces,//
1334 2002, 12 pp.,
1335 AMS Classification: 31C45, 46E35
1336 [[attach:Preprint333.ps]]
1337
1338 **Preprint 332.**
1339 A. Ignat'ev and V. Ryazanov:
1340 //Finite mean oscillation in the mapping theory,//
1341 2002, 17 pp.,
1342 AMS Classification: Primary 30C65, Secondary 30C75
1343 [[attach:Preprint332.ps]]
1344
1345 (% style="color: rgb(85,85,85);" %)**Preprint 331.**(%%)
1346 (% style="color: rgb(85,85,85);" %)F.G. Abdullayev and O.A. Dovgoshey:(%%)
1347 (% style="color: rgb(85,85,85);" %)//General Bieberbach polynomials and point evaluations,//(%%)
1348 (% style="color: rgb(85,85,85);" %)2002, 11 pp.,(%%)
1349 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 42C05, Secondary 30E10
1350
1351 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1352 \\**Preprint 330.**
1353 O. Martio, V. Miklyukov and M. Vuorinen:
1354 //Functions monotone close to boundary,//
1355 2002, 20 pp.,
1356 AMS Classification: Primary 35J70, Secondary 30C62
1357 [[attach:Preprint330.ps]]
1358
1359 **Preprint 329.**
1360 O. Martio, V. Miklyukov and M. Vuorinen:
1361 //Some remarks on an existence problem for degenerate elliptic systems,//
1362 2002, 9 pp.,
1363 AMS Classification: Primary 35J70, Secondary 30C62
1364 [[attach:Preprint329.ps]]
1365
1366 **Preprint 328.**
1367 T. Sottinen:
1368 //On Gaussian processes equivalent in law to fractional Brownian motion,//
1369 2002, 17 pp.,
1370 AMS Classification: Primary 60G15, Secondary 60G30, 60h05
1371 [[attach:Preprint328.ps]]
1372
1373 (% style="color: rgb(85,85,85);" %)**Preprint 327.**(%%)
1374 (% style="color: rgb(85,85,85);" %)M. Lindström, E. Saksman and H.-O. Tylli:(%%)
1375 (% style="color: rgb(85,85,85);" %)//Strictly singular and cosingular multiplications,//(%%)
1376 (% style="color: rgb(85,85,85);" %)2002, 27 pp.,(%%)
1377 (% style="color: rgb(85,85,85);" %)AMS Classification: 47B47, 46B28
1378
1379 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1380 \\(% style="color: rgb(85,85,85);" %)**Preprint 326.**(%%)
1381 (% style="color: rgb(85,85,85);" %)P. Nieminen and E. Saksman:(%%)
1382 (% style="color: rgb(85,85,85);" %)//Boundary correspondence of Nevanlinna counting functions for self-maps of the unit disc,//(%%)
1383 (% style="color: rgb(85,85,85);" %)2002, 20 pp.,(%%)
1384 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 30D35, 30D50, Secondary 47B33
1385
1386 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1387 \\**Preprint 325.**
1388 A. Hohti:
1389 //Recursive synthesis and the foundations of mathematics,//
1390 2002, 20 pp.,
1391 AMS Classification: Primary 03A05, Secondary 00A30
1392 [[attach:Preprint325.ps]]
1393
1394 **Preprint 324.**
1395 R. Goebel:
1396 //Continuity of the cone functor,//
1397 2002, 12 pp.,
1398 AMS Classification: Primary 54C35; Secondary 54G20, 54H99, 18D99
1399 [[attach:Preprint324.ps]]
1400
1401 **Preprint 323.**
1402 D. Faraco:
1403 //Tartar conjecture and Beltrami operators,//
1404 2002, 23 pp.,
1405 AMS Classification: 30C62, 40J45, 35J45
1406 [[attach:Preprint323.ps]]
1407
1408 **Preprint 322.**
1409 O. Martio, V. Ryazanov, U. Srebro and E. Yakubov:
1410 //Mappings of finite length distortion,//
1411 2002, 20 pp.,
1412 AMS Classification: Primary 30C65; Secondary 30C75
1413 [[attach:Preprint322.ps]]
1414
1415 **Preprint 321.**
1416 P. Harjulehto:
1417 //Sobolev extension domains,//
1418 2002, 5 pp.
1419 [[attach:Preprint321.ps]]
1420
1421 **Preprint 320.**
1422 T. J. Laakso:
1423 //Look-down equivalence without BPI equivalence,//
1424 2002, 11 pp.,
1425 AMS Classification: Primary 28A80; Secondary 28A75, 46E35
1426 [[attach:Preprint320.ps]]
1427
1428 **Preprint 319.**
1429 J. Väisälä:
1430 //Locally bilipschitz maps of roughly dense sets,//
1431 2002, 16 pp.,
1432 AMS Classification: 30C65; 46B20
1433 [[attach:Preprint319.ps]]
1434
1435 **Preprint 318.**
1436 O. Martio, V. Ryazanov, U. Srebro and E. Yakubov:
1437 //On boundary behavior of $Q$-homeomorphisms,//
1438 2002, 12 pp,
1439 AMS Classification: Primary 30C65; Secondary 30C75
1440 [[attach:Preprint318.ps]]
1441
1442 **Preprint 317.**
1443 Yu. Kozachenko, T. Sottinen and O. Vasylyk:
1444 //Weakly self-similar stationary increment processes from the space ${\rm SSub}{\varphi}(\Omega)$,//
1445 2002, 14pp.,
1446 AMS Classification: Primary 60G07, Secondary 60G70
1447 [[attach:Preprint317.ps]]
1448
1449 **Preprint 316.**
1450 O. Martio, V.M. Miklyukov and M. Vuorinen:
1451 //Relative distance and boundary properties of nonparametric surfaces with finite area,//
1452 2002, 18 pp.,
1453 AMS Classification: Primary 31C45, Secondary 53A10
1454 [[attach:Preprint316.ps]]
1455
1456 **Preprint 315.**
1457 O. Martio, V. Miklyukov and M. Vuorinen:
1458 //Generalized Wiman and Arima theorems for n~-~-subharmonic functions over cones,//
1459 2002, 29 pp.,
1460 AMS Classification: 30C65, 31C45
1461 [[attach:Preprint315.ps]]
1462
1463 **Preprint 314.**
1464 T. Sugawa and M. Vuorinen:
1465 //Some inequalities for the Poincaré metric of plane domains,//
1466 2002, 20 pp.,
1467 AMS Classification: Primary 30F45; Secondary 30A10
1468 [[attach:Preprint314.ps]]
1469
1470 **Preprint 313.**
1471 Yurii N. Lin'kov:
1472 //Large deviations in testing of models with fractional Brownian motion,//
1473 2002, 14 pp.,
1474 AMS Classification: 60F10, 62M07, 91B70
1475 [[attach:Preprint313.ps]]
1476
1477 (% style="color: rgb(85,85,85);" %)**Preprint 312.**(%%)
1478 (% style="color: rgb(85,85,85);" %)P. \v Semrl and J. Väisälä:(%%)
1479 (% style="color: rgb(85,85,85);" %)//Nonsurjective nearisometries of Banach spaces,//(%%)
1480 (% style="color: rgb(85,85,85);" %)2001, 11 pp.,(%%)
1481 (% style="color: rgb(85,85,85);" %)AMS Classification: 46B04
1482
1483 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1484 \\(% style="color: rgb(85,85,85);" %)**Preprint 311.**(%%)
1485 (% style="color: rgb(85,85,85);" %)H.-O. Tylli:(%%)
1486 (% style="color: rgb(85,85,85);" %)//Exotic algebra norms on quotient algebras of the bounded linear operators,//(%%)
1487 (% style="color: rgb(85,85,85);" %)2001, 14 pp.,(%%)
1488 (% style="color: rgb(85,85,85);" %)AMS Classification: 47L10, 46B28, 46H35
1489
1490 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1491 \\(% style="color: rgb(85,85,85);" %)**Preprint 310.**(%%)
1492 (% style="color: rgb(85,85,85);" %)E. Nummelin:(%%)
1493 (% style="color: rgb(85,85,85);" %)//MC's for MCMC'ists,//(%%)
1494 (% style="color: rgb(85,85,85);" %)2001, 39 pp.,(%%)
1495 (% style="color: rgb(85,85,85);" %)AMS Classification: 60J05, 65C05
1496
1497 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1498 \\(% style="color: rgb(85,85,85);" %)**Preprint 309.**(%%)
1499 (% style="color: rgb(85,85,85);" %)V. Gutlyanski\v i and O. Martio:(%%)
1500 (% style="color: rgb(85,85,85);" %)//Conformality of a quasiconformal mapping at a point,//(%%)
1501 (% style="color: rgb(85,85,85);" %)2001, 15 pp.,(%%)
1502 (% style="color: rgb(85,85,85);" %)AMS Classification: 30C62
1503
1504 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1505 \\**Preprint 308.**
1506 J. Kinnunen and E. Saksman:
1507 //Regularity of the fractional maximal function,//
1508 2001, 8 pp.,
1509 AMS Classification: 42B25, 46E35, 31B15
1510 [[attach:Preprint308.ps]]
1511
1512 **Preprint 307.**
1513 H. Nyrhinen:
1514 //Joining large deviations under bounds of random vectors,//
1515 2001, 22 pp.,
1516 AMS Classification: 60F10
1517 [[attach:Preprint307.ps]]
1518
1519 **Preprint 306.**
1520 J. Hirschorn:
1521 //Random gaps under CH,//
1522 2001, 11 pp.,
1523 AMS Classification: Primary 03E05, Secondary 03E40, 03E50, 28E15
1524 [[http:~~/~~/www.helsinki.fi/~~~~hirschor/random.gap.ch.ps>>url:http://www.helsinki.fi/~~hirschor/random.gap.ch.ps||shape="rect"]]
1525
1526 (% style="color: rgb(85,85,85);" %)**Preprint 305.**(%%)
1527 (% style="color: rgb(85,85,85);" %)J. Malý:(%%)
1528 (% style="color: rgb(85,85,85);" %)//Lectures on change of variables in integral,//(%%)
1529 (% style="color: rgb(85,85,85);" %)2001, 46 pp.
1530
1531 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1532 \\(% style="color: rgb(85,85,85);" %)**Preprint 304.**(%%)
1533 (% style="color: rgb(85,85,85);" %)P. Tukia:(%%)
1534 (% style="color: rgb(85,85,85);" %)//Limits of Teichm\"uller mappings on trajectories,//(%%)
1535 (% style="color: rgb(85,85,85);" %)2001, 42 pp.,(%%)
1536 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 30C62, Secondary 30C75, 30F60
1537
1538 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1539 \\**Preprint 303.**
1540 T. Blomster and K. Dzhaparidze:
1541 //On Cobb-Douglas dynamical exchange economies,//
1542 2001, 29 pp.,
1543 AMS Classification: 91B70, 91B62, 62P20
1544 [[attach:Preprint303.ps]]
1545
1546 **Preprint 302.**
1547 T. Sottinen and E. Valkeila:
1548 //Fractional Brownian motion as a model in finance,//
1549 2001, 16 pp.,
1550 AMS Classification: 60F17, 60G15, 90A09
1551 [[attach:Preprint302.ps]]
1552
1553 **Preprint 301.**
1554 A. Hellsten, T. Hyttinen and S. Shelah:
1555 //Potential isomorphism and semi-proper trees,//
1556 2001, 16 pp., AMS Classification: 03E05, 03C55
1557 [[http:~~/~~/www.helsinki.fi/~~~~hellsten/pi.ps>>url:http://www.helsinki.fi/~~hellsten/pi.ps||shape="rect"]]
1558
1559 (% style="color: rgb(85,85,85);" %)**Preprint 300.**(%%)
1560 (% style="color: rgb(85,85,85);" %)E. Nummelin:(%%)
1561 (% style="color: rgb(85,85,85);" %)//Entropy and equilibrium II: Calibration of microeconomic models,//(%%)
1562 (% style="color: rgb(85,85,85);" %)2001, 21 pp.,(%%)
1563 (% style="color: rgb(85,85,85);" %)AMS Classification: 90A14, 60F15
1564
1565 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1566 \\**Preprint 299.**
1567 J. Kinnunen and O. Martio:
1568 //Nonlinear potential theory on metric spaces,//
1569 2001, 23 pp.,
1570 AMS Classification: 46E35, 31C35
1571 [[attach:Preprint299.ps]]
1572
1573 **Preprint 298.**
1574 I. Holopainen, N. Shanmugalingam, and J.T. Tyson:
1575 //On the conformal Martin boundary of domains in metric spaces,//
1576 2001, 23 pp.,
1577 AMS Classification: Primary 31C35; Secondary 31C45, 30C65
1578 [[http:~~/~~/www.helsinki.fi/~~~~iholopai/boundary.ps>>url:http://www.helsinki.fi/~~iholopai/boundary.ps||shape="rect"]]
1579
1580 (% style="color: rgb(85,85,85);" %)**Preprint 297.**(%%)
1581 (% style="color: rgb(85,85,85);" %)T. Lehtonen and E. Nummelin:(%%)
1582 (% style="color: rgb(85,85,85);" %)//Large deviations for sectorial economies,//(%%)
1583 (% style="color: rgb(85,85,85);" %)2001, 27 pp.,(%%)
1584 (% style="color: rgb(85,85,85);" %)AMS Classification: 90A14, 60F15
1585
1586 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1587 \\(% style="color: rgb(85,85,85);" %)**Preprint 296.**(%%)
1588 (% style="color: rgb(85,85,85);" %)V. Hakulinen:(%%)
1589 (% style="color: rgb(85,85,85);" %)//Passive advection and the degenerate elliptic operators $Mn$,//(%%)
1590 (% style="color: rgb(85,85,85);" %)2001, 59 pp.,(%%)
1591 (% style="color: rgb(85,85,85);" %)AMS classification: Primary 35J70, 35K65; Secondary 35Q35, 76F25
1592
1593 **Preprint 295.**
1594 I. Holopainen and N. Shanmugalingam:
1595 //Singular functions on metric measure spaces,//
1596 2001, 21 pp.,
1597 AMS Classification: Primary 31C45; Secondary 30C65
1598 [[http:~~/~~/www.helsinki.fi/~~~~iholopai/green11.ps>>url:http://www.helsinki.fi/~~iholopai/green11.ps||shape="rect"]]
1599
1600 **Preprint 294.**
1601 Yu. Kozachenko, T. Sottinen and O. Vasylyk:
1602 //Path space large deviations of a large buffer with Gaussian input traffic,//
1603 2001, 12 pp.,
1604 AMS Classification: Primary 60K25; Secondary 60F10, 60G15
1605 [[attach:Preprint294.ps]]
1606
1607 **Preprint 293.**
1608 O. Martio and V. Ryazanov:
1609 //One-point compactification of generalized spaces,//
1610 2001, 4 pp.,
1611 AMS Classification: Primary 57N65; Secondary 57M40, 55N15
1612 [[attach:Preprint293.ps]]
1613
1614 **Preprint 292.**
1615 Tomi J. Laakso:
1616 //Tangent cones of certain spaces admitting Poincaré inequality,//
1617 2001, 10 pp., AMS Classification: Primary 28A80, secondary 46E35, 30C65, 28A75
1618 [[attach:Preprint292.ps]]
1619
1620 **Preprint 291.**
1621 P. Harjulehto:
1622 //Maximal inequality in $(s,m)$-uniform domains,//
1623 2001, 14 pp.,
1624 AMS Classification: 46E35
1625 [[attach:Preprint291.ps]]
1626
1627 **Preprint 290.**
1628 I. Holopainen:
1629 //Asymptotic Dirichlet problem for the $p$-Laplacian on Cartan-Hadamard manifolds,//
1630 2001, 9 pp., AMS Classification: Primary 58J60; Secondary 53C20, 31C12
1631 [[http:~~/~~/www.helsinki.fi/~~~~iholopai/dirprob.ps>>url:http://www.helsinki.fi/~~iholopai/dirprob.ps||shape="rect"]]
1632
1633 (% style="color: rgb(85,85,85);" %)**Preprint 289.**(%%)
1634 (% style="color: rgb(85,85,85);" %)J. Väisälä:(%%)
1635 (% style="color: rgb(85,85,85);" %)//Isometric approximation property of unbounded sets,//(%%)
1636 (% style="color: rgb(85,85,85);" %)2001, 13 pp.,(%%)
1637 (% style="color: rgb(85,85,85);" %)AMS Classification: 46C05, 460, 30C65
1638
1639 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1640 \\**Preprint 288.**
1641 O. Martio, V. Ryazanov, U. Srebro and E. Yakubov:
1642 //BMO-quasiconformal mappings and $Q$-homeomorphisms in ${\Bbb R}^n$,//
1643 2001, 23 pp.,
1644 AMS Classification: Primary 20C65; Secondary 30C75
1645 [[attach:Preprint288.ps]]
1646
1647 (% style="color: rgb(85,85,85);" %)**Preprint 287.**(%%)
1648 (% style="color: rgb(85,85,85);" %)H. Nyrhinen:(%%)
1649 (% style="color: rgb(85,85,85);" %)//Large deviations and the Gärtner-Ellis theorem for the sequences of random variables,//(%%)
1650 (% style="color: rgb(85,85,85);" %)2001, 14 pp.,(%%)
1651 (% style="color: rgb(85,85,85);" %)AMS Classification: 60F10
1652
1653 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1654 \\(% style="color: rgb(85,85,85);" %)**Preprint 286.**(%%)
1655 (% style="color: rgb(85,85,85);" %)S. Ponnusamy and V. Singh:(%%)
1656 (% style="color: rgb(85,85,85);" %)//Criteria for univalent, starlike and convex functions,//(%%)
1657 (% style="color: rgb(85,85,85);" %)2001, 20 pp.,(%%)
1658 (% style="color: rgb(85,85,85);" %)AMS Classification: 30C45, 30C55
1659
1660 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1661 \\(% style="color: rgb(85,85,85);" %)**Preprint 285.**(%%)
1662 (% style="color: rgb(85,85,85);" %)R. Kaila:(%%)
1663 (% style="color: rgb(85,85,85);" %)//On almost sure elimination of generalized quantifiers,//(%%)
1664 (% style="color: rgb(85,85,85);" %)2001, 68 pp.,(%%)
1665 (% style="color: rgb(85,85,85);" %)AMS Classification: 03C13, 03C10, 03C80, 03C75, 05C80
1666
1667 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1668 \\(% style="color: rgb(85,85,85);" %)**Preprint 284.**(%%)
1669 (% style="color: rgb(85,85,85);" %)R. Balasubramanian, S. Ponnusamy, S. Naik and M. Vuorinen:(%%)
1670 (% style="color: rgb(85,85,85);" %)//Elliott's identity and hypergeometric functions,//(%%)
1671 (% style="color: rgb(85,85,85);" %)(Prprint 284, 2001, 22 pp.)(%%)
1672 (% style="color: rgb(85,85,85);" %)AMS Classification: 33C05, 33C75
1673
1674 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1675 \\(% style="color: rgb(85,85,85);" %)**Preprint 283.**(%%)
1676 (% style="color: rgb(85,85,85);" %)V. Gutlyanskii and T. Sugawa:(%%)
1677 (% style="color: rgb(85,85,85);" %)//On Lipschitz continuity of quasiconformal mappings,//(%%)
1678 (% style="color: rgb(85,85,85);" %)2001, 18 pp.,(%%)
1679 (% style="color: rgb(85,85,85);" %)AMS Classification: 30C62
1680
1681 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1682 \\**Preprint 282.**
1683 V. Gutlyanskii, O. Martio, T. Sugawa and M. Vuorinen:
1684 //On the Degenerate Beltrami Equation,//
1685 2001, 32 pp.,
1686 AMS Classification: 30C55,60
1687 [[attach:Preprint282.ps]]
1688
1689 (% style="color: rgb(85,85,85);" %)**Preprint 281.**(%%)
1690 (% style="color: rgb(85,85,85);" %)H.~-~-O. Tylli:(%%)
1691 (% style="color: rgb(85,85,85);" %)//Duality of the distance to closed operator ideals,//(%%)
1692 (% style="color: rgb(85,85,85);" %)2001, 15 pp.,(%%)
1693 (% style="color: rgb(85,85,85);" %)AMS Classification: 47L20, 46B28
1694
1695 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1696 \\(% style="color: rgb(85,85,85);" %)**Preprint 280.**(%%)
1697 (% style="color: rgb(85,85,85);" %)V.V. Petrov:(%%)
1698 (% style="color: rgb(85,85,85);" %)//On the growth of sums of independent random variables,//(%%)
1699 (% style="color: rgb(85,85,85);" %)2001, 7 pp.,(%%)
1700 (% style="color: rgb(85,85,85);" %)AMS Classification: 60F15, 60F05
1701
1702 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1703 \\**Preprint 279.**
1704 Li Gongbao and O. Martio:
1705 //Approximation and stability of Perron solutions in nonlinear potential theory,//
1706 2001, 7 pp.,
1707 AMS Classification: 31C45, 35J70, 35J65
1708 [[attach:Preprint279.ps]]
1709
1710 **Preprint 278.**
1711 V.Ya. Gutlyanskii, O. Martio and M. Vuorinen:
1712 //On conformal differentiation in space,//
1713 2001, 19 pp.,
1714 AMS Classification: 30C55,60
1715 [[attach:Preprint278.ps]]
1716
1717 (% style="color: rgb(85,85,85);" %)**Preprint 277.**(%%)
1718 (% style="color: rgb(85,85,85);" %)E. Nummelin:(%%)
1719 (% style="color: rgb(85,85,85);" %)//Principles of stochastic equilibrium theory II: The principle of minimum entropy,//(%%)
1720 (% style="color: rgb(85,85,85);" %)2001, 6 pp.,(%%)
1721 (% style="color: rgb(85,85,85);" %)AMS Classification: 90A14, 60F15
1722
1723 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1724 \\**Preprint 276.**
1725 Li Gongbao and O. Martio:
1726 //Stability and higher integrability of derivatives of solutions in higher obstacle problems,//
1727 2001, 10 pp.,
1728 AMS Classicication: 35J65, 35B65
1729 [[attach:Preprint276.ps]]
1730
1731 **Preprint 275.**
1732 P. Harjulehto:
1733 //Sobolev extension domains on metric spaces of homogeneous type,//
1734 2001, 12 pp., AMS Classification: 46E35
1735 [[attach:Preprint275.ps]]
1736
1737 (% style="color: rgb(85,85,85);" %)**Preprint 274.**(%%)
1738 (% style="color: rgb(85,85,85);" %)V. Gutlyanskii, O. Martio and M. Vuorinen:(%%)
1739 (% style="color: rgb(85,85,85);" %)//On Hölder continuity of quasiconformal maps with VMO dilatation,//(%%)
1740 (% style="color: rgb(85,85,85);" %)2000, 12 pp.,(%%)
1741 (% style="color: rgb(85,85,85);" %)AMS Classification: 30C65, 30V60
1742
1743 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1744 \\(% style="color: rgb(85,85,85);" %)**Preprint 273.**(%%)
1745 (% style="color: rgb(85,85,85);" %)E. Nummelin:(%%)
1746 (% style="color: rgb(85,85,85);" %)//Principles of stochastic equilibrium theory I: The law of large numbers and the principle of large deviations,//(%%)
1747 (% style="color: rgb(85,85,85);" %)2000, 38 pp.,(%%)
1748 (% style="color: rgb(85,85,85);" %)AMS Classification: 90A14, 60F15
1749
1750 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1751 \\(% style="color: rgb(85,85,85);" %)**Preprint 272.**(%%)
1752 (% style="color: rgb(85,85,85);" %)O. Dovgoshev:(%%)
1753 (% style="color: rgb(85,85,85);" %)//On the $N$~-~-th root asymptotic behavior of orthonormal polynomials,//(%%)
1754 (% style="color: rgb(85,85,85);" %)2000, 21 pp.,(%%)
1755 (% style="color: rgb(85,85,85);" %)AMS Classifiction: 42C05
1756
1757 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1758 \\(% style="color: rgb(85,85,85);" %)**Preprint 271.**(%%)
1759 (% style="color: rgb(85,85,85);" %)T. Huuskonen and J. Väisälä:(%%)
1760 (% style="color: rgb(85,85,85);" %)//Hyers~-~-Ulam constants of Hilbert spaces,//(%%)
1761 (% style="color: rgb(85,85,85);" %)2000, 9 pp.,(%%)
1762 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 46B20; Secondary 46C05
1763
1764 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1765 \\(% style="color: rgb(85,85,85);" %)**Preprint 270.**(%%)
1766 (% style="color: rgb(85,85,85);" %)S. Asmuss and A. Lahtinen:(%%)
1767 (% style="color: rgb(85,85,85);" %)//On the shape~-~-preserving quadratic histosplines,//(%%)
1768 (% style="color: rgb(85,85,85);" %)2000, 16 pp.,(%%)
1769 (% style="color: rgb(85,85,85);" %)AMS Classification: 65D07, 41A15
1770
1771 **Preprint 269.**
1772 Z.M. Balogh, I. Holopainen and J.T. Tyson:
1773 //Singular solutions, homogeneous norms, and quasiconformal mappings in Carnot groups,//
1774 2000, 23 pp., AMS Classicifation: Primary 22E30, 40A80;
1775 Secondary 30C65, 35J60, 31C45
1776 [[http:~~/~~/www.helsinki.fi/~~~~iholopai/cap11-9.ps>>url:http://www.helsinki.fi/~~iholopai/cap11-9.ps||shape="rect"]]
1777
1778 (% style="color: rgb(85,85,85);" %)**Preprint 268.**(%%)
1779 (% style="color: rgb(85,85,85);" %)G. Li and H.~-~-S. Zhou:(%%)
1780 (% style="color: rgb(85,85,85);" %)//Multiple Solutions to $p$~-~-Laplacian Problem with Asymptotic Nonlinearity as $u^{p-1}$ at infinity,//(%%)
1781 (% style="color: rgb(85,85,85);" %)2000, 17 pp., AMS Classification: 35J60, 49J40
1782
1783 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1784 \\(% style="color: rgb(85,85,85);" %)**Preprint 267.**(%%)
1785 (% style="color: rgb(85,85,85);" %)R. Kaila:(%%)
1786 (% style="color: rgb(85,85,85);" %)//On almost sure elimination of numerical quantifiers,//(%%)
1787 (% style="color: rgb(85,85,85);" %)2000, 11 pp.,(%%)
1788 (% style="color: rgb(85,85,85);" %)AMS Classification: 03C13, 03C30, 03C80, 03C75, 05C80
1789
1790 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1791 \\(% style="color: rgb(85,85,85);" %)**Preprint 266.**(%%)
1792 (% style="color: rgb(85,85,85);" %)S. Shelah and J. Väänänen:(%%)
1793 (% style="color: rgb(85,85,85);" %)//A note on extensions of infinitary logic,//(%%)
1794 (% style="color: rgb(85,85,85);" %)2000, 10 pp.,(%%)
1795 (% style="color: rgb(85,85,85);" %)AMS Classification: 03C75, 03C95
1796
1797 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1798 \\(% style="color: rgb(85,85,85);" %)**Preprint 265.**(%%)
1799 (% style="color: rgb(85,85,85);" %)K. Dzhaparidze, P. Spreij and E. Valkeila:(%%)
1800 (% style="color: rgb(85,85,85);" %)//Information processes in filtered experiments,//(%%)
1801 (% style="color: rgb(85,85,85);" %)//Part II: explicit representations and examples,//(%%)
1802 (% style="color: rgb(85,85,85);" %)2000, 27 pp.,(%%)
1803 (% style="color: rgb(85,85,85);" %)AMS classification: 60G07, 60H30, 62B15, 94A17
1804
1805 **Preprint 264.**
1806 K. Dzhaparidze, P. Spreij and E. Valkeila:
1807 //Information processes in filtered experiments,//
1808 //Part I: general concepts,//
1809 2000, 25 pp.,
1810 Ams classification: 60G07, 60H30, 62B15, 94A17
1811
1812 **Preprint 263.**
1813 P. Harjulehto:
1814 //Traces and Sobolev extension domains,//
1815 2000, 14 pp., AMS Classification: 46E35
1816 [[attach:Preprint263.ps]]
1817
1818 (% style="color: rgb(85,85,85);" %)**Preprint 262.**(%%)
1819 (% style="color: rgb(85,85,85);" %)V. Derkach:(%%)
1820 (% style="color: rgb(85,85,85);" %)//On indefinite generalized interpolation,//(%%)
1821 (% style="color: rgb(85,85,85);" %)2000, 22 pp.,(%%)
1822 (% style="color: rgb(85,85,85);" %)AMS Classification: 30E05, 47A48, 47B50, 46E22
1823
1824 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1825 \\(% style="color: rgb(85,85,85);" %)**Preprint 261.**(%%)
1826 (% style="color: rgb(85,85,85);" %)Y. Mishura and E. Valkeila:(%%)
1827 (% style="color: rgb(85,85,85);" %)//On arbitrage in the mixed brownian~-~-fractional brownian market model,//(%%)
1828 (% style="color: rgb(85,85,85);" %)2000, 14 pp.,(%%)
1829 (% style="color: rgb(85,85,85);" %)AMS Classification: 60G15, 91B70, 60H06
1830
1831 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1832 \\(% style="color: rgb(85,85,85);" %)**Preprint 260.**(%%)
1833 (% style="color: rgb(85,85,85);" %)J. Väisälä:(%%)
1834 (% style="color: rgb(85,85,85);" %)//Isometric approximation property in euclidean spaces,//(%%)
1835 (% style="color: rgb(85,85,85);" %)2000, 27 pp.,(%%)
1836 (% style="color: rgb(85,85,85);" %)AMS Classifiction:46C05, 30C65
1837
1838 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1839 \\(% style="color: rgb(85,85,85);" %)**Preprint 259.**(%%)
1840 (% style="color: rgb(85,85,85);" %)J. Kinnunen and V. Latvala:(%%)
1841 (% style="color: rgb(85,85,85);" %)//Lebesgue points for Sobolev functions on metric spaces,//(%%)
1842 (% style="color: rgb(85,85,85);" %)2000, 14 pp.,(%%)
1843 (% style="color: rgb(85,85,85);" %)AMS Classification: 46E65, 31C15
1844
1845 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1846 \\[[Complete list of reports 1 - 258>>attach:1-258.pdf]]
1847
1848 **Preprint 258.**
1849 Tomi J. Laakso:
1850 //Plane with $A{\infty}$~-~-weighted metric not bilipschitz embeddable to $R^n$,//
1851 2000, 7 pp., AMS Classification: Primary 30C62, Secondary 54E40, 43A85, 28A80
1852 [[attach:Preprint258.ps]]
1853
1854 **Preprint 257.**
1855 O. Martio and V. Ryazanov:
1856 //Factors of Euclidean spaces and generalized manifolds,//
1857 2000, 12 pp., AMS Classification: 57N65, 57M40, 55P40
1858 [[attach:Preprint257.ps]]
1859
1860 (% style="color: rgb(85,85,85);" %)**Preprint 256.**(%%)
1861 (% style="color: rgb(85,85,85);" %)Ch. Bishop, V.Ya. Gutlyanski\v i, O. Martio and M. Vuorinen:(%%)
1862 (% style="color: rgb(85,85,85);" %)//On conformal dilatation in space,//(%%)
1863 (% style="color: rgb(85,85,85);" %)2000, 22 pp.,(%%)
1864 (% style="color: rgb(85,85,85);" %)AMS Classification: 30C55,50
1865
1866 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1867 \\(% style="color: rgb(85,85,85);" %)**Preprint 255.**(%%)
1868 (% style="color: rgb(85,85,85);" %)E. Nummelin:(%%)
1869 (% style="color: rgb(85,85,85);" %)//Large deviations of random vector fields with applications to economics,//(%%)
1870 (% style="color: rgb(85,85,85);" %)2000, 46 pp.,(%%)
1871 (% style="color: rgb(85,85,85);" %)AMS Classification: 90A14, 60F15
1872
1873 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1874 \\(% style="color: rgb(85,85,85);" %)**Preprint 254.**(%%)
1875 (% style="color: rgb(85,85,85);" %)J. Vuolle~-~-Apiala:(%%)
1876 (% style="color: rgb(85,85,85);" %)//On certain extensions of a rotation invariant Markov process,//(%%)
1877 (% style="color: rgb(85,85,85);" %)2000, 10 pp.,(%%)
1878 (% style="color: rgb(85,85,85);" %)AMS Classification: 60J25
1879
1880 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1881 \\(% style="color: rgb(85,85,85);" %)**Preprint 253.**(%%)
1882 (% style="color: rgb(85,85,85);" %)A. Hohti:(%%)
1883 (% style="color: rgb(85,85,85);" %)//An infinitary version of Sperner's lemma,//(%%)
1884 (% style="color: rgb(85,85,85);" %)2000, 9 pp.,(%%)
1885 (% style="color: rgb(85,85,85);" %)AMS Classification: 57N20, 55M20, 54F45
1886
1887 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1888 \\(% style="color: rgb(85,85,85);" %)**Preprint 252.**(%%)
1889 (% style="color: rgb(85,85,85);" %)V.A. Derkach, S. Hassi, M.M. Malamud and H.S.V. Snoo:(%%)
1890 (% style="color: rgb(85,85,85);" %)//Generalized resolvents of symmetric operators and admissibility,//(%%)
1891 (% style="color: rgb(85,85,85);" %)2000, 51 pp.,(%%)
1892 (% style="color: rgb(85,85,85);" %)AMS Classification: 47A10, 47A57, 47B25, 47A55, 47B15
1893
1894 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1895 \\(% style="color: rgb(85,85,85);" %)**Preprint 251.**(%%)
1896 (% style="color: rgb(85,85,85);" %)P. Tukia and X. Wang:(%%)
1897 (% style="color: rgb(85,85,85);" %)//Discreteness of subgroups of $SL(2,{\rm C})$ containing elliptic elements,//(%%)
1898 (% style="color: rgb(85,85,85);" %)2000, 5 pp.,(%%)
1899 (% style="color: rgb(85,85,85);" %)AMS Classification: 30F40, 20H10
1900
1901 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1902 \\(% style="color: rgb(85,85,85);" %)**Preprint 250.**(%%)
1903 (% style="color: rgb(85,85,85);" %)D.E. Edmunds and R. Hurri~-~-Syrjänen:(%%)
1904 (% style="color: rgb(85,85,85);" %)//Sobolev inequalities of exponential type,//(%%)
1905 (% style="color: rgb(85,85,85);" %)2000, 30 pp.,(%%)
1906 (% style="color: rgb(85,85,85);" %)AMS Classification: 46E35, 46E30, 26D10
1907
1908 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1909 \\(% style="color: rgb(85,85,85);" %)**Preprint 249.**(%%)
1910 (% style="color: rgb(85,85,85);" %)J. Taskinen:(%%)
1911 (% style="color: rgb(85,85,85);" %)//On the continuity of the Bergman and Szegö projections,//(%%)
1912 (% style="color: rgb(85,85,85);" %)1999, 17 pp.,(%%)
1913 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 46E10, Secondary 42A50, 46A13, 46E15, 30H05
1914
1915 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[]{{/excerpt}}
1916 \\(% style="color: rgb(85,85,85);" %)**Preprint 248.**(%%)
1917 (% style="color: rgb(85,85,85);" %)E.A. Karatsuba:(%%)
1918 (% style="color: rgb(85,85,85);" %)//On the asymptotic representation of the Euler gamma function by Ramanujan,//(%%)
1919 (% style="color: rgb(85,85,85);" %)1999, 21 pp,(%%)
1920 (% style="color: rgb(85,85,85);" %)AMS Classification: 33B15, 41A10, 42A16
1921
1922 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
1923 \\(% style="color: rgb(85,85,85);" %)**Preprint 247.**(%%)
1924 (% style="color: rgb(85,85,85);" %)P. Alestalo, D.A. Trotsenko and J. Väisälä:(%%)
1925 (% style="color: rgb(85,85,85);" %)//Isometric approximation,//(%%)
1926 (% style="color: rgb(85,85,85);" %)1999, 22 pp.,(%%)
1927 (% style="color: rgb(85,85,85);" %)AMS Classification:
1928
1929 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
1930 \\**Preprint 246.**
1931 I. Holopainen and P. Koskela:
1932 //Volume growth and parabolicity,//
1933 1999, 12 pp., AMS Classification: 58G30, 53C20, 31C12
1934 [[http:~~/~~/www.helsinki.fi/~~~~iholopai/p-para.ps>>url:http://www.helsinki.fi/~~iholopai/p-para.ps||shape="rect"]]
1935
1936 **Preprint 245.**
1937 I. Holopainen:
1938 //Harmonic functions and volume growth of fingerless ends,//
1939 1999, 13 pp., AMS Classification: 58G30, 53C20, 31C12
1940 [[http:~~/~~/www.helsinki.fi/~~~~iholopai/finger.ps>>url:http://www.helsinki.fi/~~iholopai/finger.ps||shape="rect"]]
1941
1942 (% style="color: rgb(85,85,85);" %)**Preprint 244.**(%%)
1943 (% style="color: rgb(85,85,85);" %)S. Makhmutov:(%%)
1944 (% style="color: rgb(85,85,85);" %)//$\alpha$-normal functions and Yosida functions,//(%%)
1945 (% style="color: rgb(85,85,85);" %)1999, 9 pp.,(%%)
1946 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 30D35; Secondary 30D50, 30D45
1947
1948 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
1949 \\(% style="color: rgb(85,85,85);" %)**Preprint 243.**(%%)
1950 (% style="color: rgb(85,85,85);" %)V.L. Oleinik:(%%)
1951 (% style="color: rgb(85,85,85);" %)//Tight-binding approximation on the lemniscate,//(%%)
1952 (% style="color: rgb(85,85,85);" %)1999, 13 pp.,(%%)
1953 (% style="color: rgb(85,85,85);" %)AMS Classification: 47B31, 39A11, 30C10, 39A70
1954
1955 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
1956 \\(% style="color: rgb(85,85,85);" %)**Preprint 242.**(%%)
1957 (% style="color: rgb(85,85,85);" %)S. Makhmutov and M. Tjani:(%%)
1958 (% style="color: rgb(85,85,85);" %)//Composition operators on some Möbius invariant Banach spaces,//(%%)
1959 (% style="color: rgb(85,85,85);" %)1999, 24 pp.,(%%)
1960 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 47B38; Secondary 30D45, 30D50
1961
1962 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
1963 \\(% style="color: rgb(85,85,85);" %)**Preprint 241.**(%%)
1964 (% style="color: rgb(85,85,85);" %)R. Kaila:(%%)
1965 (% style="color: rgb(85,85,85);" %)//Zero~-~-one laws for sparse random structures with generalized quantifiers,//(%%)
1966 (% style="color: rgb(85,85,85);" %)1999, 17 pp.,(%%)
1967 (% style="color: rgb(85,85,85);" %)AMS Classification: 03C13, 03C80, 05C80
1968
1969 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
1970 \\**Preprint 240.**
1971 J. Heinonen and S. Rickman:
1972 //Geometric branched covers between generalized manifolds,//
1973 1999, 53 pp., AMS Classification: 57M12
1974 [[attach:Preprint240.ps]]
1975
1976 **Preprint 239.**
1977 H. Junnila:
1978 //Embeddings of weakly compact sets and $*$-paired Banach spaces,//
1979 1999, 14 pp., AMS Classification: 46B20. 46E15, 54C35, 54D30
1980 [[attach:Preprint239.ps]]
1981
1982 (% style="color: rgb(85,85,85);" %)**Preprint 238.**(%%)
1983 (% style="color: rgb(85,85,85);" %)H. Hedenmalm and E. Saksman:(%%)
1984 (% style="color: rgb(85,85,85);" %)//Carleson's convergence theorem for Dirichlet series,//(%%)
1985 (% style="color: rgb(85,85,85);" %)1999, 21 pp.,(%%)
1986 (% style="color: rgb(85,85,85);" %)AMS Classification: 42A20 (42C99, 46E20, 11K99)
1987
1988 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
1989 \\(% style="color: rgb(85,85,85);" %)**Preprint 237.**(%%)
1990 (% style="color: rgb(85,85,85);" %)H. Nyrhinen:(%%)
1991 (% style="color: rgb(85,85,85);" %)//Finite and infinite time ruin probabilities in a stochastic economic environment,//(%%)
1992 (% style="color: rgb(85,85,85);" %)1999, 22 pp.,(%%)
1993 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 60G40, Secondary 60F10
1994
1995 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
1996 \\(% style="color: rgb(85,85,85);" %)**Preprint 236.**(%%)
1997 (% style="color: rgb(85,85,85);" %)P. Järvi:(%%)
1998 (% style="color: rgb(85,85,85);" %)//On the zeros and growth of quasiregular mappings,//(%%)
1999 (% style="color: rgb(85,85,85);" %)1999, 14 pp.,(%%)
2000 (% style="color: rgb(85,85,85);" %)AMS Classification: 30C65
2001
2002 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
2003 \\(% style="color: rgb(85,85,85);" %)**Preprint 235.**(%%)
2004 (% style="color: rgb(85,85,85);" %)R. Kaila:(%%)
2005 (% style="color: rgb(85,85,85);" %)//Convergence laws for very sparse random structures with generalized quantifiers,//(%%)
2006 (% style="color: rgb(85,85,85);" %)1999, 24 pp.,(%%)
2007 (% style="color: rgb(85,85,85);" %)AMS Classification: 03C13, 03C80, 03C75, 03C10, 05C80
2008
2009 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
2010 \\(% style="color: rgb(85,85,85);" %)**Preprint 234.**(%%)
2011 (% style="color: rgb(85,85,85);" %)A. Hohti:(%%)
2012 (% style="color: rgb(85,85,85);" %)//Locales, the Locally Fine Construction and Formal Spaces,//(%%)
2013 (% style="color: rgb(85,85,85);" %)1999, 17 pp.,(%%)
2014 (% style="color: rgb(85,85,85);" %)AMS Classification 54B10, 54E15
2015
2016 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
2017 \\(% style="color: rgb(85,85,85);" %)**Preprint 233.**(%%)
2018 (% style="color: rgb(85,85,85);" %)A. Hohti, M. Hu\v sek, J. Pelant:(%%)
2019 (% style="color: rgb(85,85,85);" %)//The Locally Fine Coreflection and Normal Covers in the Products of Partition-complete Spaces,//(%%)
2020 (% style="color: rgb(85,85,85);" %)1999, 15 pp.,(%%)
2021 (% style="color: rgb(85,85,85);" %)AMS Classification: 54B10, 54E15
2022
2023 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
2024 \\(% style="color: rgb(85,85,85);" %)**Preprint 232.**(%%)
2025 (% style="color: rgb(85,85,85);" %)R. Kaila:(%%)
2026 (% style="color: rgb(85,85,85);" %)//On the number of extensions on random structures,//(%%)
2027 (% style="color: rgb(85,85,85);" %)1999, 22 pp.,(%%)
2028 (% style="color: rgb(85,85,85);" %)AMS Classification: 03C13, 05C80
2029
2030 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
2031 \\(% style="color: rgb(85,85,85);" %)**Preprint 231.**(%%)
2032 (% style="color: rgb(85,85,85);" %)U. Srebro and E. Yakubov:(%%)
2033 (% style="color: rgb(85,85,85);" %)//On folding solutions of the Beltrami equation,//(%%)
2034 (% style="color: rgb(85,85,85);" %)1999, 8 pp.,(%%)
2035 (% style="color: rgb(85,85,85);" %)AMS Classification: 30C62
2036
2037 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
2038 \\(% style="color: rgb(85,85,85);" %)**Preprint 230.**(%%)
2039 (% style="color: rgb(85,85,85);" %)V.Ya. Gutlyanski\v i, O. Martio and M. Vuorinen:(%%)
2040 (% style="color: rgb(85,85,85);" %)//On weak Lipschitz condition for quasiconformal maps,//(%%)
2041 (% style="color: rgb(85,85,85);" %)1999, 14 pp.,(%%)
2042 (% style="color: rgb(85,85,85);" %)AMS Classification: 30C55,60
2043
2044 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
2045 \\(% style="color: rgb(85,85,85);" %)**Preprint 229.**(%%)
2046 (% style="color: rgb(85,85,85);" %)E. Saksman:(%%)
2047 (% style="color: rgb(85,85,85);" %)//The local mapping properties of the Hilbert transform,//(%%)
2048 (% style="color: rgb(85,85,85);" %)1999, 26 pp.,(%%)
2049 (% style="color: rgb(85,85,85);" %)AMS Classification: Primary 44A15, 30E99, Secondary 30D55, 45E99
2050
2051 {{excerpt hidden="true" atlassian-macro-output-type="INLINE"}}[] []{{/excerpt}}
2052 \\**Preprint 228.**
2053 T. Sottinen:
2054 //Fractional Brownian motion, random walks and binary market models,//
2055 1999, 10 pp., AMS Classification: 60F17, 60G15, 90A09
2056 [[attach:Preprint228.ps]]
2057
2058 **Preprint 227.**
2059 A. Koponen and K. Luosto:
2060 //Definability of group theoretic notions,//
2061 1999, 18 pp., AMS Classification: 03C13, 03C20, 20A15
2062 [[attach:Preprint227.ps]]
2063
2064 **Preprint 213.**
2065 Tomi Laakso:
2066 //Lipschitz mappings with no bilipschitz tangents in spaces with decent calculus,//
2067 1999, 4 pp.
2068 [[attach:Preprint213.ps]]
2069
2070 **Preprint 210.**
2071 J. Luukkainen:
2072 //Topologically, quasiconformally or Lipschitz locally flat approximation of embeddings,//
2073 1999, 36 pp., AMS Classification: 57N35, 30C65
2074 [[attach:Preprint210.ps]]
2075
2076 **Preprint 202.**
2077 L. Hella and J. Nurmonen:
2078 //Vectorization hierarchies of some graph quantifiers,//
2079 1998, 21 pp., AMS Classification: 03C13, 03C80
2080 [[attach:Preprint202.ps]]
2081
2082 **Preprint 201.**
2083 Y. Mishura and E. Valkeila:
2084 //An isometric approach to stochastic integrals,//
2085 1998, 15 pp., AMS Classification: 60H05, 60G15,60J65
2086 [[attach:Preprint201.ps]]
2087
2088 **Preprint 199.**
2089 I. Holopainen:
2090 //A sharp $L^q$-Liouville theorem for $p$-harmonic functions,//
2091 1998, 14 pp., AMS Classification: 58G30, 53C20, 31C12
2092 [[http:~~/~~/www.helsinki.fi/~~~~iholopai/lqli.ps>>url:http://www.helsinki.fi/~~iholopai/lqli.ps||shape="rect"]]
2093
2094 **Preprint 198.**
2095 J. Luukkainen:
2096 //The density topology is maximally resolvable,//
2097 1998, 2 pp., AMS Classification: 54A25, 28A05
2098 [[attach:Preprint198.ps]]
2099
2100 **Preprint 197.**
2101 A.A. Gushchin and E. Valkeila:
2102 //On statistical experiments converging to exponential limits,//
2103 1998, 18 pp., AMS Classification: 62B15, 62A99
2104 [[attach:Preprint197.ps]]
2105
2106 **Preprint 193.**
2107 S. Illman and M. Kankaanrinta:
2108 //Some basic results for real analytic proper $G$-manifolds,//
2109 1998, 14 pp., AMS Classification: 57S20, 58A07
2110 [[attach:Preprint193.ps]]
2111
2112 **Preprint 192.**
2113 S. Illman and M. Kankaanrinta:
2114 //A new topology for the set ${\rm C}^{\infty,G}(M,N)$ of $G$-equivariant smooth maps,//
2115 1998, 28 pp., AMS Classification: 57S20, 58Sxx, 58D10
2116 [[attach:Preprint192.ps]]
2117
2118 **Preprint 186.**
2119 A. Novikov and E. Valkeila:
2120 //On some maximal inequalities for fractional Brownian motions,//
2121 1998, 9 pp, AMS Classification: 60G15, 60G40, 60H99
2122 [[attach:Preprint186.ps]]
2123
2124 **Preprint 185.**
2125 V. Ryazanov and M. Vuorinen:
2126 //On Belinskii conformality in a prescribed set of points,//
2127 1998, 12 pp., AMS Classification: 30C62
2128 [[attach:Preprint185.ps]]
2129
2130 **Preprint 182.**
2131 A. Dow, H. Junnila and J. Pelant:
2132 //More on weak covering properties of weak topologies,//
2133 1998, 19 pp., AMS Classification: 54C35, 46B20, 54E20, 54D30
2134 [[attach:Preprint182.ps]]
2135
2136 **Preprint 180.**
2137 T.J. Laakso :
2138 //Ahlfors $Q$~-~-regular spaces with arbitrary $Q$ admitting weak Poincaré inequality ,//
2139 1998, 7 pp., AMS Classification: 46E35, 28A75, 30C65
2140 [[attach:Preprint180.ps]]
2141
2142 **Preprint 178.**
2143 J. Bonet and J. Taskinen :
2144 //The subspace problem for weighted inductive limits revisited,//
2145 1998, 10 pp., AMS Classification: 46E10, 46A04/08/13, 46M40, 30H05, 32A99
2146 [[attach:Preprint178.ps]]
2147
2148 **Preprint 177.**
2149 K. Peltonen :
2150 //An elementary point of view to Eliashberg's classification of contact structures on $S^3$,//
2151 1998, 14 pp., AMS Classification: 53C15, 55R55, 57M12, 57M25, 57R15
2152 [[attach:Preprint177.ps]]
2153
2154 **Preprint 175.**
2155 O. Martio, V.M. Miklyukov and M. Vuorinen :
2156 //Critical points of $A$~-~-solutions of quasilinear elliptic equations ,//
2157 1998, 17 pp., AMS Classification: 35J60
2158 [[attach:Preprint175.ps]]
2159
2160 **Preprint 174.**
2161 A. Yu. Solynin and M. Vuorinen :
2162 //Estimates for the hyperbolic metric of the punctured plane and applications ,//
2163 1997, 25 pp., AMS Classification: 30C62, 33C05, 26D15, 11F99
2164 [[attach:Preprint174.ps]]
2165
2166 **Preprint 171.**
2167 J. Bricmont, A. Kupiainen and J. Taskinen :
2168 //Stability of Cahn-Hilliard fronts,//
2169 1997, 28 pp., AMS Classification: 35B40, 35K55
2170 [[attach:Preprint171.ps]]
2171
2172 **Preprint 169.**
2173 K. Luosto:
2174 //Ramsey theory is needed for solving definability problems of generalized quantifiers,//
2175 1997, 16 pp., AMS Classification: 03C80; 05D10
2176 [[attach:Preprint169.ps]]
2177
2178 **Preprint 168.**
2179 S. Ponnusamy and F. R\o nning:
2180 //Integral transforms of functions with the derivative in a halfplane,//
2181 1997, 10 pp., AMS Classification: 30C45; 33C05
2182 [[attach:Preprint168.ps]]
2183
2184 **Preprint 167.**
2185 J. Luukkainen :
2186 //Lipschitz and quasiconformal approximation of homeomorphism pairs,//
2187 1997, 35 pp., AMS Classification: 57N55; 30C65, 57R12
2188 [[attach:Preprint167.ps]]
2189
2190 **Preprint 159.**
2191 A. Halko and S. Shelah :
2192 //On strong measure zero subsets of $^{\kappa}2$ ,//
2193 1997, 10 pp., AMS Classification: 03E15, 04A15
2194 [[attach:Preprint159.ps]]
2195
2196 **Preprint 150.**
2197 J.M. Turull Torres :
2198 //A semantic characterization of relational machines and the effects of homogeneity ,//
2199 1997, 21 pp., AMS Classification: 68P15, 03C13, 03D10
2200 [[attach:Preprint150.ps]]
2201
2202 **Preprint 148.**
2203 I. Holopainen :
2204 //Volume growth, Green's functions, and parabolicity of ends,//
2205 1997, 23 pp., AMS Classification: 58G30, 53C20, 31C12
2206 [[attach:Preprint148.ps]]
2207
2208 **Preprint 147.**
2209 S. Shelah and P. Väisänen :
2210 //On the number of $L{\infty \omega1}$-equivalent, non-isomorphic models ,//
2211 1997, 37 pp., AMS Classification: Primary 03C55, Secondary 03C75, 03E05
2212 [[attach:Preprint147.ps]]
2213
2214 **Preprint 146.**
2215 J.M. Turull Torres :
2216 //Untyped queries, untyped reflective machines and conditional quantifiers ,//
2217 1997, 29 pp., AMS Classification: Primary 68P15, 03C13, Secondary 03C75, 03D10
2218 [[attach:Preprint146.ps]]
2219
2220 **Preprint 145.**
2221 M. Kankaanrinta :
2222 //Equivariant real analytic approximations ,//
2223 1997, 15 pp., AMS Classification: 57S20
2224 [[attach:Preprint145.ps]]
2225
2226 **Preprint 134.**
2227 G. Arone and M. Kankaanrinta :
2228 //A Functorial Model For Iterated Snaith Splitting With Applications To Calculus Of Functors ,//
2229 1996, 33 pp., AMS Classification: 55P99
2230 [[attach:Preprint134.ps]]
2231
2232 **Preprint 133.**
2233 I. Norros, E. Valkeila and J. Virtamo :
2234 //An Elementary Approach To A Girsanov Formula And Other Analytical Results On Fractional Brownian Motions ,//
2235 1996, 16 pp., AMS Classification: 60G15, 60G30, 62M09
2236 [[attach:Preprint133.ps]]
2237
2238 **Preprint 130.**
2239 O. Martio, V. Ryazanov, M. Vuorinen :
2240 //$BMO$ And Injectivity Of Space Quasiregular Mappings ,//
2241 1996, 16 pp., AMS Classification: Primary 30C65; Secondary 30C75
2242 [[attach:Preprint130.ps]]
2243
2244 **Preprint 128.**
2245 L. Grafakos and J. Kinnunen :
2246 //Sharp Inequalities For Maximal Functions Associated To General Measures ,//
2247 1996, 9 pp., AMS Classification: 42B25
2248 [[attach:Preprint128.ps]]
2249
2250 **Preprint 126.**
2251 L. Hella and H. Imhof :
2252 //Enhancing Fixed Point Logic With Cardinality Quantifiers ,//
2253 1996, 17 pp., AMS Classification: 03C13, 03C80
2254 [[attach:Preprint126.ps]]
2255
2256 **Preprint 125.**
2257 K. Luosto :
2258 //Hierarchies Of Monadic Generalized Quantifiers ,//
2259 1996, 24 pp., AMS Classification: 03C80; 03C13, 05D10
2260 [[attach:Preprint125.ps]]
2261
2262 **Preprint 123.**
2263 O. Martio, V.M. Miklyukov, M. Vuorinen :
2264 //Morrey's Lemma On Riemannian Manifolds ,//
2265 1996, 23 pp., AMS Classification: 26B35, 58C05, 58C07
2266 [[attach:Preprint123.ps]]
2267
2268 **Preprint 122.**
2269 V. Ya. Gutlyanski\v i, O. Martio, V.I. Ryazanov, M. Vuorinen :
2270 //On Local Injectivity And Asymptotic Linearity Of Quasiresgular Mappings ,//
2271 1996, 29 pp., AMS Classification: 30C65, 30C75
2272 [[attach:Preprint122.ps]]
2273
2274 **Preprint 121.**
2275 J. Taskinen :
2276 //Compact Composition Operators On General Weighted Spaces ,//
2277 1996, 14 pp., AMS Classification: 47B38, 47B07, 47B10, 30H05
2278 [[attach:Preprint121.ps]]
2279
2280 **Preprint 120.**
2281 J. Luukkainen and E. Saksman :
2282 //Every Complete Doubling Metric Space Carries A Doubling Measure ,//
2283 1996, 4 pp., AMS Classification: 28A12; 54F45
2284 [[attach:Preprint120.ps]]
2285
2286 **Preprint 118.**
2287 S.-L. Qiu and M. Vuorinen :
2288 //Duplication Inequalities for the Ratios of Hypergeometric Functions ,//
2289 1996, 21 pp., AMS Classification: 33C05, 30C62; 11F99, 26D15
2290 [[attach:Preprint118.ps]]
2291
2292 **Preprint 116.**
2293 S.-L. Qiu and M. Vuorinen :
2294 //Landen Inequalities for Hypergeometric Functions ,//
2295 1996, 22 pp., AMS Classification: 33C05, 33B15; 26D05
2296 [[attach:Preprint116.ps]]
2297
2298 **Preprint 115.**
2299 K. Dzhaparidze, P. Spreij and E. Valkeila :
2300 //On Hellinger Processes for Parametric Families of Experiments ,//
2301 1996, 18 pp., AMS Classification: 60A10,62E10
2302 [[attach:Preprint115.ps]]
2303
2304 **Preprint 112.**
2305 Juha Nurmonen :
2306 //Counting modulo quantifiers on finite structures ,//
2307 1996, 24 pp., AMS Classification: 03C13,03C80
2308 [[attach:Preprint112.ps]]
2309
2310 **Preprint 107.**
2311 A.V. Melnikov and E. Valkeila :
2312 //A New Look on the Method of Stochastic Approximation ,//
2313 1996, 37 pp., AMS classification: 62L20, 60H30
2314 [[attach:Preprint107.ps]]
2315
2316 **Preprint 105.**
2317 V.Ya. Gutlyanski\v i, O. Martio, V.I. Ryazanov, M. Vuorinen:
2318 //On Convergence Theorems for Space Quasiregular Mappings,//
2319 1996, 19 pp., AMS classification: 30C55,60
2320 [[attach:Preprint105.ps]]
2321
2322 **Preprint 103.**
2323 S. Ponnusamy and M. Vuorinen:
2324 //Univalence and Convexity Properties for Confluent Hypergeometric Functions,//
2325 1996, 20 pp., AMS classification: 30C45, 33A30
2326 [[attach:Preprint103.ps]]
2327
2328 **Preprint 101.**
2329 Jouko Väänänen:
2330 //Unary Quantifiers on Finite Models,//
2331 1996, 25 pp., AMS classification: 03C80, 03C13
2332 [[attach:Preprint101.ps]]
2333
2334 [[Complete list of reports 1 - 258>>attach:1-258.pdf]]